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Continuous primitives for higher degree differential forms in euclidean spaces, heisenberg groups and applications
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2025
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Annalisa Baldi
Bruno Franchi
Pierre Pansu
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Primitives of volume forms in Carnot groups
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2024
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Annalisa Baldi
Bruno Franchi
Pierre Pansu
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Homogenization of Smoluchowski-type equations with transmission boundary conditions
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2024
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Bruno Franchi
Silvia Lorenzani
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Continuous primitives for higher degree differential forms in Euclidean
spaces, Heisenberg groups and applications
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2024
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Annalisa Baldi
Bruno Franchi
Pierre Pansu
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Homogenization of Smoluchowski-type equations with transmission boundary conditions
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2024
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Bruno Franchi
Silvia Lorenzani
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On the heat kernel of the Rumin complex and Calderón reproducing formula
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2024
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Paolo Ciatti
Bruno Franchi
Yannick Sire
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Cohomology of annuli, duality and L∞-differential forms on Heisenberg groups
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2023
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Annalisa Baldi
Bruno Franchi
Pierre Pansu
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On the heat kernel of the Rumin complex and Calderón reproducing formula
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2023
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Paolo Ciatti
Bruno Franchi
Yannick Sire
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Exceptional families of measures on Carnot groups
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2023
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Bruno Franchi
Irina Markina
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Exceptional families of measures on Carnot groups
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2022
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Bruno Franchi
Irina Markina
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The role of beta-amyloid and tau proteins in Alzheimer's disease: a mathematical model on graph
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2022
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Michiel Bertsch
Bruno Franchi
Maria Carla Tesi
Veronica Tora
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Introduction to the Notes of the School on Analysis and Geometry in Metric Spaces
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2021
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Luigi Ambrosio
Bruno Franchi
Irina Markina
Francesco Serra Cassano
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Cohomology of annuli, duality and $L^\infty$-differential forms on Heisenberg groups
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2021
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Annalisa Baldi
Bruno Franchi
Pierre Pansu
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A sensitivity analysis of a mathematical model for the synergistic interplay of amyloid beta and tau on the dynamics of Alzheimer’s disease
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2020
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Michiel Bertsch
Bruno Franchi
Valentina Meschini
Maria Carla Tesi
Andrea Tosin
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The amyloid cascade hypothesis and Alzheimer’s disease: A mathematical model
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2020
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Michiel Bertsch
Bruno Franchi
Luca Meacci
Mario Primicerio
Maria Carla Tesi
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POINCARÉ AND SOBOLEV INEQUALITIES FOR DIFFERENTIAL FORMS IN HEISENBERG GROUPS AND CONTACT MANIFOLDS
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2020
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Annalisa Baldi
Bruno Franchi
Pierre Pansu
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L1-Poincaré inequalities for differential forms on Euclidean spaces and Heisenberg groups
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2020
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Annalisa Baldi
Bruno Franchi
Pierre Pansu
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PDF
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A mathematical model for Alzheimer’s disease: An approach via stochastic homogenization of the Smoluchowski equation
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2020
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Bruno Franchi
Martin Heida
Silvia Lorenzani
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Orlicz spaces and endpoint Sobolev-Poincaré inequalities for differential forms in Heisenberg groups
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2020
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Annalisa Baldi
Bruno Franchi
Pierre Pansu
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A Mathematical model for Alzheimer's disease: An approach via stochastic homogenization of the Smoluchowski equation
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2019
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Bruno Franchi
Martin Heida
Silvia Lorenzani
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PDF
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Gaffney–Friedrichs inequality for differential forms on Heisenberg groups
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2019
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Bruno Franchi
Francescopaolo Montefalcone
Elena Boet Serra
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L1-Poincaré and Sobolev inequalities for differential forms in Euclidean spaces
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2019
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Annalisa Baldi
Bruno Franchi
Pierre Pansu
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$L^1$-Poincar\'e and Sobolev inequalities for differential forms in Euclidean spaces
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2019
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Annalisa Baldi
Bruno Franchi
Pierre Pansu
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$L^1$-Poincaré inequalities for differential forms on Euclidean spaces and Heisenberg groups
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2019
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Annalisa Baldi
Bruno Franchi
Pierre Pansu
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A Mathematical model for Alzheimer's disease: An approach via stochastic homogenization of the Smoluchowski equation
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2019
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Bruno Franchi
Martin Heida
Silvia Lorenzani
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$L^1$-Poincaré and Sobolev inequalities for differential forms in Euclidean spaces
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2019
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Annalisa Baldi
Bruno Franchi
Pierre Pansu
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PDF
Chat
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Well-Posedness of a Mathematical Model for Alzheimer's Disease
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2018
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Michiel Bertsch
Bruno Franchi
Maria Carla Tesi
Andrea Tosin
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PDF
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$$\Gamma $$ Γ -Convergence of variational functionals with boundary terms in Stein manifolds
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2017
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Eleonora Cinti
Bruno Franchi
María del Mar González
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PDF
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Microscopic and macroscopic models for the onset and progression of Alzheimer's disease
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2017
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Michiel Bertsch
Bruno Franchi
Maria Carla Tesi
Andrea Tosin
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PDF
Chat
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Smoluchowski Equation with Variable Coefficients in Perforated Domains: Homogenization and Applications to Mathematical Models in Medicine
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2017
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Bruno Franchi
Silvia Lorenzani
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Poincar{é} and Sobolev inequalities for differential forms in Heisenberg groups
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2017
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Annalisa Baldi
Bruno Franchi
Pierre Pansu
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$\Gamma$-convergence of variational functionals with boundary terms in Stein manifolds
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2016
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Eleonora Cinti
Bruno Franchi
María del Mar González
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Alzheimer's disease: a mathematical model for onset and progression
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2016
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Michiel Bertsch
Bruno Franchi
Norina Marcello
Maria Carla Tesi
Andrea Tosin
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PDF
Chat
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From a Microscopic to a Macroscopic Model for Alzheimer Disease: Two-Scale Homogenization of the Smoluchowski Equation in Perforated Domains
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2016
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Bruno Franchi
Silvia Lorenzani
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A recursive basis for primitive forms in symplectic spaces and applications to Heisenberg groups
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2016
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Annalisa Baldi
Marilena Barnabei
Bruno Franchi
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$Γ$-convergence of variational functionals with boundary terms in Stein manifolds
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2016
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Eleonora Cinti
Bruno Franchi
María del Mar González
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PDF
Chat
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Gagliardo-Nirenberg inequalities for differential forms in Heisenberg groups
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2015
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Annalisa Baldi
Bruno Franchi
Pierre Pansu
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PDF
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Steiner’s formula in the Heisenberg group
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2015
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Zoltán M. Balogh
Fausto Ferrari
Bruno Franchi
Eugenio Vecchi
Kevin Wildrick
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PDF
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Intrinsic Lipschitz Graphs Within Carnot Groups
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2015
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Bruno Franchi
Raul Serapioni
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PDF
Chat
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Maxwell’s Equations in Anisotropic Media and Carnot Groups as Variational Limits
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2015
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Annalisa Baldi
Bruno Franchi
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PDF
Chat
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Area formula for centered Hausdorff measures in metric spaces
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2015
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Bruno Franchi
Raul Serapioni
Francesco Serra Cassano
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Gagliardo-Nirenberg Inequalities for Horizontal Vector Fields in the Engel Group and in the Seven-Dimensional Quaternionic Heisenberg Group
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2015
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Annalisa Baldi
Bruno Franchi
Francesca Tripaldi
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PDF
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Harnack inequality for fractional sub-Laplacians in Carnot groups
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2014
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Fausto Ferrari
Bruno Franchi
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Remarks on Lipschitz domains in Carnot groups
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2014
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Bruno Franchi
Valentina Penso
Raul Serapioni
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PDF
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Differentiability and ApproximateDifferentiability for Intrinsic LipschitzFunctions in Carnot Groups and a RademacherTheorem
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2014
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Bruno Franchi
Marco Marchi
Raul Serapioni
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Sharp a priori estimates for div–curl systems in Heisenberg groups
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2013
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Annalisa Baldi
Bruno Franchi
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On a class of semilinear evolution equations for vector potentials associated with Maxwell’s equations in Carnot groups
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2013
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Bruno Franchi
Enrico Obrecht
Eugenio Vecchi
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A qualitative model for aggregation and diffusion of $$\beta $$ -amyloid in Alzheimer’s disease
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2012
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Yves Achdou
Bruno Franchi
Norina Marcello
Maria Carla Tesi
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WAVE AND MAXWELL'S EQUATIONS IN CARNOT GROUPS
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2012
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Bruno Franchi
Maria Carla Tesi
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Hessian inequalities and the fractional Laplacian
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2011
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Fausto Ferrari
Bruno Franchi
Igor E. Verbitsky
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+
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Differential forms in Carnot groups: a Γ-convergence approach
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2011
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Annalisa Baldi
Bruno Franchi
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Differentiability of Intrinsic Lipschitz Functions within Heisenberg Groups
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2010
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Bruno Franchi
Raul Serapioni
Francesco Serra Cassano
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+
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Faraday’s Form and Maxwell’s Equations in the Heisenberg Group
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2009
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Bruno Franchi
Maria Carla Tesi
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PDF
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Compensated compactness for differential forms in Carnot groups and applications
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2009
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Annalisa Baldi
Bruno Franchi
Nicoletta Tchou
Maria Carla Tesi
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Hypoellipticity, fundamental solution and Liouville type theorem for matrix-valued differential operators in Carnot groups
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2009
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Annalisa Baldi
Bruno Franchi
Maria Carla Tesi
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Compensated compactness in the contact complex of Heisenberg groups
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2008
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Annalisa Baldi
Bruno Franchi
Maria Carla Tesi
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Geometric Methods in PDE's: a conference on the occasion of the 65th birthday of Ermanno Lanconelli
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2008
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Giovanna Citti
Sever S Dragomir
Bruno Franchi
Cristian E. Gutiérrez
Annamaria Montanari
Andrea Pascucci
Sergio Polidoro
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The Geometric Traveling Salesman Problem in the Heisenberg Group
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2007
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Fausto Ferrari
Bruno Franchi
Hervé Pajot
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Convergence of a class of degenerate Ginzburg-Landau functionals and regularity for a subelliptic harmonic map equation
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2006
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Bruno Franchi
Elena Boet Serra
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Heat Kernels, Stochastic Processes and Functional Inequalities
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2006
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Thierry Coulhon
Bruno Franchi
Takashi Kumagai
Karl‐Theodor Sturm
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Regular submanifolds, graphs and area formula in Heisenberg groups
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2006
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Bruno Franchi
Raul Serapioni
Francesco Serra Cassano
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Fundamental solution and sharp Lp estimates for Laplace operators in the contact complex of Heisenberg groups
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2006
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Annalisa Baldi
Bruno Franchi
Maria Carla Tesi
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DIV–CURL TYPE THEOREM, H-CONVERGENCE AND STOKES FORMULA IN THE HEISENBERG GROUP
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2006
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Bruno Franchi
Nicoletta Tchou
Maria Carla Tesi
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On a relative Alexandrov-Fenchel inequality for convex bodies in Euclidean spaces
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2006
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Fausto Ferrari
Bruno Franchi
Guozhen Lu
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Courbure et sous-ensembles de courbes rectifiables dans le groupe de Heisenberg
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2006
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Fausto Ferrari
Bruno Franchi
Hervé Pajot
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Homogenization and Convergence of Correctors in Carnot Groups
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2005
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Bruno Franchi
Cristian E. Gutiérrez
Truyen Nguyen
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Mumford–Shah-type functionals associated with doubling metric measures
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2005
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Annalisa Baldi
Bruno Franchi
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PDF
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A partial differential equation connected to option pricing with stochastic volatility: Regularity results and discretization
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2004
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Yves Achdou
Bruno Franchi
Nicoletta Tchou
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On the structure of finite perimeter sets in step 2 Carnot groups
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2003
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Bruno Franchi
Raul Serapioni
Francesco Serra Cassano
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A Sum Operator with Applications to Self-Improving Properties of Poincar� Inequalities in Metric Spaces
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2003
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Bruno Franchi
Carlos Pérez
Richard L. Wheeden
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A $\Gamma$ -convergence result for doubling metric measures and associated perimeters
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2003
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Annalisa Baldi
Bruno Franchi
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A Local Doubling Formula for the Harmonic Measure Associated with Subelliptic Operators and Applications†
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2003
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Fausto Ferrari
Bruno Franchi
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PDF
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Regular Hypersurfaces, Intrinsic Perimeter and Implicit Function Theorem in Carnot Groups
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2003
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Francesco Serra Cassano
Bruno Franchi
Raul Serapioni
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$BV$ spaces and rectifiability for Carnot-Carathéodory metrics: an introduction
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2003
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Bruno Franchi
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Two-scale homogenization in the Heisenberg group
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2002
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Bruno Franchi
Maria Carla Tesi
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PDF
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Rectifiability and perimeter in step 2 Groups
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2002
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Bruno Franchi
Raul Serapioni
Francesco Serra Cassano
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Agmon metric for sum-of-squares operators
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2001
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Claudy Cancelier
Bruno Franchi
Elena Boet Serra
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Rectifiability and perimeter in the Heisenberg group
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2001
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Raul Serapioni
Bruno Franchi
Francesco Serra Cassano
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Sharp Geometric Poincaré Inequalities for Vector Fields and Non-Doubling Measures
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2000
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Bruno Franchi
Carlos Pérez
Richard L. Wheeden
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PDF
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How to get rid of one of the weights in a two-weight Poincaré inequality?
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2000
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Bruno Franchi
Piotr Hajłasz
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Sur les ensembles de périmètre fini dans le groupe de heisenberg
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1999
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Bruno Franchi
Raul Serapioni
Francesco Serra Cassano
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+
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Some remarks about Poincaré type inequalities and representation formulas in metric spaces of homogeneous type
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1999
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Bruno Franchi
Richard L. Wheeden
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PDF
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Definitions of Sobolev classes on metric spaces
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1999
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Bruno Franchi
Piotr Hajłasz
Pekka Koskela
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+
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Some remarks about Poincaré type inequalities and representation formulas in metric spaces of homogeneous type
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1999
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Wheeden Richard L
Bruno Franchi
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Self-Improving Properties of John–Nirenberg and Poincaré Inequalities on Spaces of Homogeneous Type
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1998
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Bruno Franchi
Carlos Pérez
Richard L. Wheeden
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None
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1998
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Bruno Franchi
Raul Serapioni
Francesco Serra Cassano
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PDF
Chat
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Compensation couples and isoperimetric estimates for vector fields
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1997
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Bruno Franchi
Richard L. Wheeden
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Subelliptic Estimates for a Class of Degenerate Elliptic Integro‐Differential Operators
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1997
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Claudy Cancelier
Bruno Franchi
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Existence and Uniqueness of Nonnegative Solutions of Quasilinear Equations inRn
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1996
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Bruno Franchi
Ermanno Lanconelli
James Serrin
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None
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1996
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Bruno Franchi
Guozhen Lu
Richard L. Wheeden
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+
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Gehring's lemma for metrics and higher integrability of the gradient for minimizers of noncoercive variational functionals
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1996
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Bruno Franchi
Francesco Serra Cassano
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Weighted Poincar� inequalities for H�rmander vector fields and local regularity for a class of degenerate elliptic equations
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1995
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Bruno Franchi
G. Lu
Richard L. Wheeden
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PDF
Chat
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Representation formulas and weighted Poincaré inequalities for Hörmander vector fields
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1995
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Bruno Franchi
Guozhen Lu
Richard L. Wheeden
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+
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Weighted Poincaré Inequalities for Hörmander Vector Fields and local regularity for a class of degenerate elliptic equations
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1995
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Bruno Franchi
G. Lu
Richard L. Wheeden
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+
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Sobolev and isoperimetric inequalities for degenerate metrics
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1994
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Bruno Franchi
Sylvestre Gallot
Richard L. Wheeden
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+
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Weighted sobolev-poincaré inequalities for grushin type operators
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1994
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Bruno Franchi
Cristian E. Gutiérrez
Richard L. Wheeden
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Two-weight Sobolev-Poincaré inequalities and Harnack inequality for a class of degenerate elliptic operators
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1994
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Bruno Franchi
Cristian E. Gutiérrez
Richard L. Wheeden
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Nontrivial solutions for Monge-Ampère type operators in convex domains
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1993
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Bruno Franchi
N. D. Kutev
Sergio Polidoro
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Global Solutions for a Class of Monge-Ampère Equations
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1992
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Bruno Franchi
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Weighted Sobolev-Poincare Inequalities and Pointwise Estimates for a Class of Degenerate Elliptic Equations
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1991
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Bruno Franchi
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PDF
Chat
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Weighted Sobolev-Poincaré inequalities and pointwise estimates for a class of degenerate elliptic equations
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1991
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Bruno Franchi
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Existence and Uniqueness of Ground State Solutions of Quasilinear Elliptic Equations
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1988
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Bruno Franchi
Ermanno Lanconelli
James Serrin
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Radial Symmetry of the Ground States for a Class of Quasilinear Elliptic Equations
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1988
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Bruno Franchi
Ermanno Lanconelli
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+
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Pointwise estimates for a class of strongly degenerate elliptic operators : a geometrical approach
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1987
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Bruno Franchi
Raul Serapioni
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+
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Trace Theorems for Anisotropic Weighted SOBOLEV Spaces in a Corner
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1986
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Bruno Franchi
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An embedding theorem for sobolev spaces related to non-smooth vector fieldsand harnack inequality
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1984
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Bruno Franchi
Ermanno Lanconelli
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Hölder regularity theorem for a class of linear nonuniformly elliptic operators with measurable coefficients
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1983
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Bruno Franchi
Ermanno Lanconelli
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