Ilaria Fragalà

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All published works

Action	Title	Year	Authors
+ PDF Chat	The geometric size of the fundamental gap	2024	Vincenzo Amato Dorin Bucur Ilaria Fragalà
+ PDF Chat	Lattice tilings minimizing nonlocal perimeters	2024	Annalisa Cesaroni Ilaria Fragalà Matteo Novaga
+ PDF Chat	Variational Worn Stones	2024	Graziano Crasta Ilaria Fragalà
+ PDF Chat	The nonlocal isoperimetric problem for polygons: Hardy–Littlewood and Riesz inequalities	2023	Beniamin Bogosel Dorin Bucur Ilaria Fragalà
+ PDF Chat	On a geometric combination of functions related to Prékopa–Leindler inequality	2023	Graziano Crasta Ilaria Fragalà
+	The nonlocal isoperimetric problem for polygons: Hardy-Littlewood and Riesz inequalities	2023	Beniamin Bogosel Dorin Bucur Ilaria Fragalà
+	Variational worn stones	2023	Graziano Crasta Ilaria Fragalà
+	Lattice tilings minimizing nonlocal perimeters	2023	Annalisa Cesaroni Ilaria Fragalà Matteo Novaga
+ PDF Chat	Alexandrov theorem for general nonlocal curvatures: The geometric impact of the kernel	2022	Dorin Bucur Ilaria Fragalà
+	On a geometric combination of functions related to Prékopa-Leindler inequality	2022	Graziano Crasta Ilaria Fragalà
+	Alexandrov theorem for general nonlocal curvatures: the geometric impact of the kernel	2022	Dorin Bucur Ilaria Fragalà
+	Rigidity for measurable sets	2021	Dorin Bucur Ilaria Fragalà
+ PDF Chat	Local minimality results for the Mumford–Shah functional via monotonicity	2020	Dorin Bucur Ilaria Fragalà Alessandro Giacomini
+	On the first eigenvalue of the normalized 𝑝-Laplacian	2019	Graziano Crasta Ilaria Fragalà Bernd Kawohl
+	The Brunn–Minkowski inequality for the principal eigenvalue of fully nonlinear homogeneous elliptic operators	2019	Graziano Crasta Ilaria Fragalà
+ PDF Chat	On the supremal version of the Alt–Caffarelli minimization problem	2019	Graziano Crasta Ilaria Fragalà
+ PDF Chat	Proof of the honeycomb asymptotics for optimal Cheeger clusters	2019	Dorin Bucur Ilaria Fragalà
+ PDF Chat	Rigidity results for variational infinity ground states	2019	Graziano Crasta Ilaria Fragalà
+	The Multiphase Mumford--Shah Problem	2019	Dorin Bucur Ilaria Fragalà Alessandro Giacomini
+	On the supremal version of the Alt-Caffarelli minimization problem	2018	Graziano Crasta Ilaria Fragalà
+	Serrin-type theorems for triangles	2018	Ilaria Fragalà Bozhidar Velichkov
+	Reverse Faber–Krahn and Mahler inequalities for the Cheeger constant	2018	Dorin Bucur Ilaria Fragalà
+ PDF Chat	Phase Field Approach to Optimal Packing Problems and Related Cheeger Clusters	2018	Beniamin Bogosel Dorin Bucur Ilaria Fragalà
+ PDF Chat	A Duality Theory for Non-convex Problems in the Calculus of Variations	2018	Guy Bouchitté Ilaria Fragalà
+	Sensitivity of the Compliance and of the Wasserstein Distance with Respect to a Varying Source	2017	Guy Bouchitté Ilaria Fragalà Ilaria Lucardesi
+	On the honeycomb conjecture for a class of minimal convex partitions	2017	Dorin Bucur Ilaria Fragalà Bozhidar Velichkov Gianmaria Verzini
+ PDF Chat	1. Geometric issues in PDE problems related to the infinity Laplace operator	2017	Graziano Crasta Ilaria Fragalà
+	On the honeycomb conjecture for a class of minimal convex partitions	2017	Dorin Bucur Ilaria Fragalà Bozhidar Velichkov Gianmaria Verzini
+	On the honeycomb conjecture for a class of minimal convex partitions	2017	Dorin Bucur Ilaria Fragalà Bozhidar Velichkov Gianmaria Verzini
+	Blaschke–Santaló and Mahler inequalities for the first eigenvalue of the Dirichlet Laplacian	2016	Dorin Bucur Ilaria Fragalà
+ PDF Chat	Characterization of stadium-like domains via boundary value problems for the infinity Laplacian	2016	Graziano Crasta Ilaria Fragalà
+ PDF Chat	A $C^1$ regularity result for the inhomogeneous normalized infinity Laplacian	2015	Graziano Crasta Ilaria Fragalà
+ PDF Chat	On the Dirichlet and Serrin Problems for the Inhomogeneous Infinity Laplacian in Convex Domains: Regularity and Geometric Results	2015	Graziano Crasta Ilaria Fragalà
+	Duality for non-convex variational problems	2015	Guy Bouchitté Ilaria Fragalà
+ PDF Chat	A Symmetry Problem for the Infinity Laplacian: Fig. 1.	2014	Graziano Crasta Ilaria Fragalà
+	A Faber–Krahn Inequality for the Cheeger Constant of $$N$$ N -gons	2014	Dorin Bucur Ilaria Fragalà
+	Lower bounds for the Prékopa-Leindler deficit by some distances modulo translations	2014	D.Bucur Dbucur Ilaria Fragalà
+	The first variation of the total mass of log-concave functions and related inequalities	2013	Andrea Colesanti Ilaria Fragalà
+	A new symmetry criterion based on the distance function and applications to PDEʼs	2013	Graziano Crasta Ilaria Fragalà
+ PDF Chat	Quermassintegrals of quasi-concave functions and generalized Prékopa–Leindler inequalities	2013	S. G. Bobkov Andrea Colesanti Ilaria Fragalà
+	Sharp Bounds for the p-Torsion of Convex Planar Domains	2012	Ilaria Fragalà Filippo Gazzola Jimmy Lamboley
+	Quermassintegrals of quasi-concave functions and generalized Pr\'ekopa-Leindler inequalities	2012	Sergey G. Bobkov Andrea Colesanti Ilaria Fragalà
+	Quermassintegrals of quasi-concave functions and generalized Prékopa-Leindler inequalities	2012	Sergey G. Bobkov Andrea Colesanti Ilaria Fragalà
+	The area measure of log-concave functions and related inequalities	2011	Andrea Colesanti Ilaria Fragalà
+ PDF Chat	Optimal convex shapes for concave functionals	2011	Dorin Bucur Ilaria Fragalà Jimmy Lamboley
+ PDF Chat	Optimal convex shapes for concave functionals	2011	Dorin Bucur Ilaria Fragalà Jimmy Lamboley
+	Optimal convex shapes for concave functionals	2011	Dorin Bucur Ilaria Fragalà Jimmy Lamboley
+	On an isoperimetric inequality for capacity conjectured by Pólya and Szegö	2010	Ilaria Fragalà Filippo Gazzola Michel Pierre
+	Overdetermined problems with possibly degenerate ellipticity, a geometric approach	2006	Ilaria Fragalà Filippo Gazzola Bernd Kawohl
+	Concentration of Ginzburg--Landau Energies with Supercritical Growth	2006	Niccolò Desenzani Ilaria Fragalà
+	On a long-standing conjecture by Pólya–Szegö and related topics	2005	Graziano Crasta Ilaria Fragalà Filippo Gazzola
+	On the role of energy convexity in the web function approximation	2005	Graziano Crasta Ilaria Fragalà Filippo Gazzola
+	Continuity of an optimal transport in Monge problem	2005	Ilaria Fragalà Maria Stella Gelli Aldo Pratelli
+	Existence and nonexistence results for anisotropic quasilinear elliptic equations	2004	Ilaria Fragalà Filippo Gazzola Bernd Kawohl
+	A Sharp Upper Bound for the¶Torsional Rigidity of Rods¶by Means of Web Functions	2002	Graziano Crasta Ilaria Fragalà Filippo Gazzola
+ PDF Chat	BV functions with respect to a measure and relaxation of metric integral functionals	1999	Giovanni Bellettini Guy Bouchitté Ilaria Fragalà

Common Coauthors

Coauthor	Papers Together
Dorin Bucur	19
Graziano Crasta	18
Filippo Gazzola	7
Andrea Colesanti	5
Guy Bouchitté	4
Bozhidar Velichkov	4
Jimmy Lamboley	4
Bernd Kawohl	3
Beniamin Bogosel	3
Gianmaria Verzini	3
Annalisa Cesaroni	2
Sergey G. Bobkov	2
Alessandro Giacomini	2
Matteo Novaga	2
Maria Stella Gelli	1
Vincenzo Amato	1
Ilaria Lucardesi	1
Aldo Pratelli	1
D.Bucur Dbucur	1
S. G. Bobkov	1
Giovanni Bellettini	1
Michel Pierre	1
Niccolò Desenzani	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Convex Bodies: The Brunn–Minkowski Theory	1993	Rolf Schneider	14
+	Semiconcave Functions, Hamilton—Jacobi Equations, and Optimal Control	2004	Piermarco Cannarsa Carlo Sinestrari	10
+	A Sharp Upper Bound for the¶Torsional Rigidity of Rods¶by Means of Web Functions	2002	Graziano Crasta Ilaria Fragalà Filippo Gazzola	9
+	Capacitary inequalities of the Brunn-Minkowski type	1983	Christer Borell	9
+	Brunn–Minkowski inequalities for variational functionals and related problems	2004	Andrea Colesanti	8
+	Extremum Problems for Eigenvalues of Elliptic Operators	2006	Antoine Henrot	8
+	Isoperimetric inequalities in mathematical physics	1951	George Pólya Gábor Szegő	8
+ PDF Chat	The Brunn-Minkowski inequality	2002	Richard J. Gardner	7
+ PDF Chat	Elliptic Partial Differential Equations of Second Order	2001	David Gilbarg Neil S. Trudinger	7
+ PDF Chat	Characterization of Cheeger sets for convex subsets of the plane	2006	Bernd Kawohl Thomas Lachand-Robert	7
+	None	2002	Graziano Crasta Filippo Gazzola	6
+	A Symmetry Result Related to Some Overdetermined Boundary Value Problems	1989	Nicola Garofalo John L. Lewis	6
+	User’s guide to viscosity solutions of second order partial differential equations	1992	Michael G. Crandall Hitoshi Ishii Pierre-Louis Lions	6
+	A minkowski problem for electrostatic capacity	1996	David Jerison	6
+	AN INTRODUCTION TO THE CHEEGER PROBLEM	2011	Enea Parini	6
+	Existence of Minima¶for Nonconvex Functionals¶in Spaces of Functions¶Depending on the Distance from the Boundary	1999	Filippo Gazzola	6
+ PDF Chat	Elliptic Partial Differential Equations of Second Order	1977	David Gilbarg Neil S. Trudinger	5
+	Overdetermined problems with possibly degenerate ellipticity, a geometric approach	2006	Ilaria Fragalà Filippo Gazzola Bernd Kawohl	5
+	Estimates of harmonic measure	1977	Björn E. J. Dahlberg	5
+ PDF Chat	Everywhere differentiability of infinity harmonic functions	2011	Lawrence C. Evans Charles K. Smart	5
+	Symmetry results for overdetermined problems on convex domains via Brunn–Minkowski inequalities	2011	Ilaria Fragalà	5
+	A symmetry result for an overdetermined elliptic problem using continuous rearrangement and domain derivative	2002	Friedemann Brock Antoine Henrot	5
+	An Optimal Partition Problem for Eigenvalues	2006	L. A. Cafferelli Fang Lin	5
+ PDF Chat	On the Dirichlet and Serrin Problems for the Inhomogeneous Infinity Laplacian in Convex Domains: Regularity and Geometric Results	2015	Graziano Crasta Ilaria Fragalà	5
+	Existence and regularity for a minimum problem with free boundary.	1981	Hans Wilhelm Alt Luis Caffarelli	5
+	The Direct Method in the Calculus of Variations for Convex Bodies	1996	David Jerison	5
+ PDF Chat	Cartesian currents in the calculus of variations	1997	Mariano Giaquinta	5
+ PDF Chat	An isoperimetric inequality for logarithmic capacity of polygons	2004	Alexander Yu. Solynin V. A. Zalgaller	5
+	Concavity properties of solutions to some degenerate quasilinear elliptic Dirichlet problems	1987	Shigeru Sakaguchi	5
+	On Extensions of the Brunn-Minkowski and Prékopa-Leindler Theorems, Including Inequalities for Log Concave Functions, and with an Application to the Diffusion Equation	2002	H. J. Brascamp Élliott H. Lieb	5
+	Partially overdetermined elliptic boundary value problems	2008	Ilaria Fragalà Filippo Gazzola	5
+ PDF Chat	On the characterization of some classes of proximally smooth sets	2015	Graziano Crasta Ilaria Fragalà	5
+	On extensions of the Brunn-Minkowski and Prékopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation	1976	H. J. Brascamp Élliott H. Lieb	5
+ PDF Chat	Shape derivatives for minima of integral functionals	2013	Guy Bouchitté Ilaria Fragalà Ilaria Lucardesi	4
+	The Brunn-Minkowski inequality for p -capacity of convex bodies	2003	Andrea Colesanti Paolo Salani	4
+	Some new symmetry results for elliptic problems on the sphere and in Euclidean space	2000	Friedemann Brock Jugal K. Prajapat	4
+ PDF Chat	C 1, α regularity for infinity harmonic functions in two dimensions	2008	Lawrence C. Evans Ovidiu Savin	4
+ PDF Chat	Monotonicity and symmetry results for $p$-Laplace equations and applications	2000	Lucio Damascelli Filomena Pacella	4
+ PDF Chat	A tour of the theory of absolutely minimizing functions	2004	Gunnar Aronsson Michael G. Crandall Petri Juutinen	4
+	Estimates for the energy of the solutions to elliptic Dirichlet problems on convex domains	2004	Graziano Crasta	4
+	Tug-of-war and the infinity Laplacian	2008	Yuval Peres Oded Schramm Scott Sheffield⋆ David B. Wilson	4
+	A Faber–Krahn Inequality for the Cheeger Constant of $$N$$ N -gons	2014	Dorin Bucur Ilaria Fragalà	4
+	Variational Problems for a Class of Functionals on Convex Domains	2002	Graziano Crasta	4
+ PDF Chat	The Minkowski problem for the torsional rigidity	2010	Andrea Colesanti Michele Fimiani	4
+	Uniqueness of Lipschitz extensions: Minimizing the sup norm of the gradient	1993	Robert Jensen	4
+	The Santaló point of a function, and a functional form of the Santaló inequality	2004	Shiri Artstein-Avidan Bo’az Klartag Vitali Milman	4
+	The Brunn?Minkowski Inequality for the n-dimensional Logarithmic Capacity of Convex Bodies	2005	Andrea Colesanti Paola Cuoghi	4
+	Geometry of Log-concave Functions and Measures	2005	Bo’az Klartag Vitali Milman	4
+	Convex viscosity solutions and state constraints	1997	Olivier Alvarez Jean Michel Lasry Pierre‐Louis Lions	4
+	The Hexagonal Honeycomb Conjecture	1999	Frank Morgan	4