Andrea Colesanti

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All published works

Action	Title	Year	Authors
+ PDF Chat	Geometric properties of solutions to elliptic PDE's in Gauss space and related Brunn-Minkowski type inequalities	2025	Andrea Colesanti Lei Qin Paolo Salani
+	Log-concavity of the first Dirichlet eigenfunction of some elliptic differential operators and convexity inequalities for the relevant eigenvalue	2025	Andrea Colesanti
+	The Hadwiger Theorem on Convex Functions, I	2024	Andrea Colesanti Monika Ludwig Fabian Mussnig
+ PDF Chat	On weighted Blaschke--Santalo and strong Brascamp--Lieb inequalities	2024	Andrea Colesanti Alexander V. Kolesnikov Galyna V. Livshyts Liran Rotem
+ PDF Chat	The Brunn-Minkowski inequality for the first eigenvalue of the Ornstein-Uhlenbeck operator and log-concavity of the relevant eigenfunction	2024	Andrea Colesanti Elisa Francini Galyna V. Livshyts Paolo Salani
+	The homogeneous decomposition of dually translation invariant valuations on Lipschitz functions on the sphere	2024	Andrea Colesanti Jonas Knoerr Daniele Pagnini
+	Convex Geometry	2023	Shiri Artstein-Avidan Gabriele Bianchi Andrea Colesanti Paolo Gronchi Daniel Hug Monika Ludwig Fabian Mussnig
+	Geometric and Functional Inequalities	2023	Andrea Colesanti Daniel Hug
+	The Hadwiger theorem on convex functions, IV: The Klain approach	2022	Andrea Colesanti Monika Ludwig Fabian Mussnig
+ PDF Chat	On p-Brunn–Minkowski inequalities for intrinsic volumes, with $$0\le p<1$$	2022	Chiara Bianchini Andrea Colesanti Daniele Pagnini Alberto Roncoroni
+ PDF Chat	The Hadwiger theorem on convex functions, III: Steiner formulas and mixed Monge–Ampère measures	2022	Andrea Colesanti Monika Ludwig Fabian Mussnig
+	The Hadwiger theorem on convex functions, IV: The Klain approach	2022	Andrea Colesanti Monika Ludwig Fabian Mussnig
+	On $p$-Brunn-Minkowski inequalities for intrinsic volumes with $0\leq p<1$	2021	Chiara Bianchini Andrea Colesanti Daniele Pagnini Alberto Roncoroni
+	The Hadwiger theorem on convex functions, II: Cauchy-Kubota formulas	2021	Andrea Colesanti Monika Ludwig Fabian Mussnig
+	On $p$-Brunn-Minkowski inequalities for intrinsic volumes with $0\leq p<1$	2021	Chiara Bianchini Andrea Colesanti Daniele Pagnini Alberto Roncoroni
+ PDF Chat	Continuous valuations on the space of Lipschitz functions on the sphere	2020	Andrea Colesanti Daniele Pagnini Pedro Tradacete Ignacio Villanueva
+ PDF Chat	6. A note on the quantitative local version of the log-Brunn–Minkowski inequality	2020	Andrea Colesanti Galyna V. Livshyts
+	Continuous valuations on the space of Lipschitz functions on the sphere	2020	Andrea Colesanti Daniele Pagnini Pedro Tradacete Ignacio Villanueva
+	A homogeneous decomposition theorem for valuations on convex functions	2020	Andrea Colesanti Monika Ludwig Fabian Mussnig
+	A class of invariant valuations on Lip(S−1)	2020	Andrea Colesanti Daniele Pagnini Pedro Tradacete Ignacio Villanueva
+ PDF Chat	Hessian valuations	2020	Andrea Colesanti Monika Ludwig Fabian Mussnig
+	The Hadwiger theorem on convex functions, I	2020	Andrea Colesanti Monika Ludwig Fabian Mussnig
+	Continuous valuations on the space of Lipschitz functions on the sphere	2020	Andrea Colesanti Daniele Pagnini Pedro Tradacete Ignacio Villanueva
+	The Orlicz version of the L Minkowski problem for −n < p < 0	2019	Gabriele Bianchi Károly J. Böröczky Andrea Colesanti
+ PDF Chat	Smoothness in the $$L_p$$Lp Minkowski Problem for $$p<1$$p<1	2019	Gabriele Bianchi Károly J. Böröczky Andrea Colesanti
+	Dot product invariant valuations on Lip$(S^{n-1})$	2019	Andrea Colesanti Daniele Pagnini Pedro Tradacete Ignacio Villanueva
+	The L-Minkowski problem for −n < p < 1	2018	Gabriele Bianchi Károly J. Böröczky Andrea Colesanti Deane Yang
+	Minkowski valuations under volume constraints	2018	Judit Abardia-Evéquoz Andrea Colesanti Eugenia Saorín Gómez
+ PDF Chat	Translation invariant valuations on quasi-concave functions	2018	Andrea Colesanti Nico Lombardi Lukas Parapatits
+	Analytic Aspects of Convexity	2018	Gabriele Bianchi Andrea Colesanti Paolo Gronchi
+	Hessian valuations.	2017	Andrea Colesanti Monika Ludwig Fabian Mussnig
+	Uniqueness of a smooth convex body with a uniform cone volume measure in the neighborhood of a ball	2017	Andrea Colesanti Galyna V. Livshyts
+ PDF Chat	Minkowski valuations on convex functions	2017	Andrea Colesanti Monika Ludwig Fabian Mussnig
+	Minimum Problems for Volumes of Convex Bodies	2017	Stefano Campi Andrea Colesanti Paolo Gronchi
+ PDF Chat	Minkowski Additive Operators Under Volume Constraints	2017	Judit Abardia-Evéquoz Andrea Colesanti Eugenia Saorín-Gómez
+ PDF Chat	Valuations on Convex Functions	2017	Andrea Colesanti Monika Ludwig Fabian Mussnig
+	On the stability of Brunn–Minkowski type inequalities	2017	Andrea Colesanti Galyna V. Livshyts Arnaud Marsiglietti
+	Translation invariant valuations on quasi-concave functions	2017	Andrea Colesanti Nico Lombardi Lukas Parapatits
+	Minkowski additive operators under volume constraints	2017	Judit Abardia-Evéquoz Andrea Colesanti Eugenia Saorín Gómez
+ PDF Chat	Valuations on the Space of Quasi-Concave Functions	2017	Andrea Colesanti Nico Lombardi
+	Log-Concave Functions	2017	Andrea Colesanti
+	Translation invariant valuations on quasi-concave functions	2017	Andrea Colesanti Nico Lombardi Lukas Parapatits
+	Minkowski additive operators under volume constraints	2017	Judit Abardia-Evéquoz Andrea Colesanti Eugenia Saorín Gómez
+	A note on the quantitative local version of the log-Brunn-Minkowski inequality	2017	Andrea Colesanti Galyna V. Livshyts
+	The infinitesimal form of Brunn-Minkowski type inequalities	2016	Andrea Colesanti Galyna V. Livshyts Arnaud Marsiglietti
+	On the stability of Brunn-Minkowski type inequalities.	2016	Andrea Colesanti Galyna V. Livshyts Arnaud Marsiglietti
+ PDF Chat	Monotonicity and concavity of integral functionals involving area measures of convex bodies	2016	Andrea Colesanti Daniel Hug Eugenia Saorín Gómez
+	Monotonicity and concavity of integral functionals involving area measures of convex bodies	2016	Andrea Colesanti Daniel Hug Eugenia Saorín-Gómez
+	Replacing covariance by inequalities in classifying Minkowski valuations	2016	Judit Abardia Andrea Colesanti Eugenia Saorín Gómez
+	Minkowski valuations under volume constraints	2016	Judit Abardia-Evéquoz Andrea Colesanti Eugenia Saorín Gómez
+	Monotonicity and concavity of integral functionals involving area measures of convex bodies	2016	Andrea Colesanti Daniel Hug Eugenia Saorín-Gómez
+	Minkowski valuations under volume constraints	2016	Judit Abardia-Evéquoz Andrea Colesanti Eugenia Saorín Gómez
+	On the stability of Brunn-Minkowski type inequalities	2016	Andrea Colesanti Galyna V. Livshyts Arnaud Marsiglietti
+	The Hadamard variational formula and the Minkowski problem for p-capacity	2015	Andrea Colesanti Kaj Nyström Paolo Salani Jie Xiao Da Yang G. Zhang
+ PDF Chat	Monotone Valuations on the Space of Convex Functions	2015	Lorenzo Cavallina Andrea Colesanti
+ PDF Chat	On a Linear Refinement of the Prékopa-Leindler Inequality	2015	Andrea Colesanti Eugenia Saorín Gómez Jesús Yepes Nicolás
+	On a linear refinement of the Pr\'ekopa-Leindler inequality	2015	Andrea Colesanti Eugenia Saorín Gómez Jesús Yepes Nicolás
+	On a linear refinement of the Prékopa-Leindler inequality	2015	Andrea Colesanti Eugenia Saorín Gómez Jesús Yepes Nicolás
+	Valuations on the space of quasi-concave functions	2015	Andrea Colesanti Nico Lombardi
+	The first variation of the total mass of log-concave functions and related inequalities	2013	Andrea Colesanti Ilaria Fragalà
+ PDF Chat	Quermassintegrals of quasi-concave functions and generalized Prékopa–Leindler inequalities	2013	S. G. Bobkov Andrea Colesanti Ilaria Fragalà
+	Functional notions of quermassintegrals	2013	Andrea Colesanti
+	Quermassintegrals of quasi-concave functions and generalized Pr\'ekopa-Leindler inequalities	2012	Sergey G. Bobkov Andrea Colesanti Ilaria Fragalà
+ PDF Chat	A Characterization of Some Mixed Volumes via the Brunn–Minkowski Inequality	2012	Andrea Colesanti Daniel Hug Eugenia Saorín Gómez
+	A characterization of some mixed volumes via the Brunn-Minkowski inequality	2012	Andrea Colesanti Daniel Hug Eugenia Saorín Gómez
+	A characterization of some mixed volumes via the Brunn-Minkowski inequality	2012	Andrea Colesanti Daniel Hug Eugenia Saorín Gómez
+	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	Isoperimetry and stability of hyperplanes for product probability measures	2011	Franck Barthe Chiara Bianchini Andrea Colesanti
+	Isoperimetry and Stability of Hyperplanes for Product Probability Measures	2011	Franck Barthe Chiara Bianchini Andrea Colesanti
+	The area measure of log-concave functions and related inequalities	2011	Andrea Colesanti Ilaria Fragala'
+	Isoperimetry and Stability of Hyperplanes for Product Probability Measures	2011	Franck Barthe Chiara Bianchini Andrea Colesanti
+ PDF Chat	The Minkowski problem for the torsional rigidity	2010	Andrea Colesanti Michele Fimiani
+ PDF Chat	FROM THE BRUNN–MINKOWSKI INEQUALITY TO A CLASS OF POINCARÉ-TYPE INEQUALITIES	2008	Andrea Colesanti
+	Outer Minkowski content for some classes of closed sets	2008	Luigi Ambrosio Andrea Colesanti Elena Villa
+ PDF Chat	A sharp Rogers and Shephard inequality for the $p$-difference body of planar convex bodies	2008	Chiara Bianchini Andrea Colesanti
+	Functional inequalities derived from the Brunn-Minkowski inequalities for quermassintegrals	2008	Andrea Colesanti Eugenia Saor
+	The Minkowski problem for the torsional rigidity	2008	Andrea Colesanti Michele Fimiani
+	A sharp Rogers-Shephard type inequality for the p-difference body of a planar convex body	2007	Chiara Bianchini Andrea Colesanti
+	On geometric properties of sets of positive reach in ${\bf E}^d$	2007	Andrea Colesanti Paolo Manselli
+	From the Brunn-Minkowski inequality to a class of Poincaré type inequalities	2007	Andrea Colesanti
+	Functional Inequalities related to the Rogers‐Shephard Inequality	2006	Andrea Colesanti
+	Brunn-Minkowski inequalities for two functionals involving the<b><i>p</i></b>-Laplace operator	2006	Andrea Colesanti Paola Cuoghi Paolo Salani
+	The Brunn?Minkowski Inequality for the n-dimensional Logarithmic Capacity of Convex Bodies	2005	Andrea Colesanti Paola Cuoghi
+	HESSIAN MEASURES OF CONVEX FUNCTIONS AND APPLICATIONS TO AREA MEASURES	2005	Andrea Colesanti Daniel Hug
+	Functional inequalities related to the Rogers-Shephard inequality	2005	Andrea Colesanti
+	Brunn–Minkowski inequalities for variational functionals and related problems	2004	Andrea Colesanti
+	The Brunn-Minkowski inequality for p -capacity of convex bodies	2003	Andrea Colesanti Paolo Salani
+	Quasi–concave envelope of a function and convexity of level sets of solutions to elliptic equations	2003	Andrea Colesanti Paolo Salani
+	Shaking Compact Sets	2001	Stefano Campi Andrea Colesanti Paolo Gronchi
+ PDF Chat	Steiner type formulae and weighted measures of singularities for semi-convex functions	2000	Andrea Colesanti Daniel Hug
+ PDF Chat	Hessian measures of semi-convex functions and applications to support measures of convex bodies	2000	Andrea Colesanti Daniel Hug
+ PDF Chat	Convexity and asymptotic estimates for large solutions of Hessian equations	2000	Andrea Colesanti Elisa Francini Paolo Salani
+	Hessian equations in non-smooth domains	1999	Andrea Colesanti Paolo Salani
+	A note on Sylvester's problem for random polytopes in a convex body	1999	Stefano Campi Andrea Colesanti Paolo Gronchi
+	Blaschke-decomposable convex bodies	1998	Stefano Campi Andrea Colesanti Paolo Gronchi
+	Convessità in dimensione finita	1998	Andrea Colesanti
+ PDF Chat	Generalised solutions of Hessian equations	1997	Andrea Colesanti Paolo Salani
+	A Steiner type formula for convex functions	1997	Andrea Colesanti
+	Qualitative and quantitative results for sets of singular points of convex bodies	1997	Andrea Colesanti Carlo Pucci
+	On the second differentiability of convex surfaces	1996	Gabriele Bianchi Andrea Colesanti Carlo Pucci
+	Convex bodies with extremal volumes having prescribed brightness in finitely many directions	1995	Stefano Campi Andrea Colesanti Paolo Gronchi
+	A symmetry result for the p-laplacian equation via the moving planes method	1994	Carlo Pucci Andrea Colesanti
+	A Variational Problem for Harmonic Functions in Ring-Shaped Domains with Partially Free Boundary	1994	Andrea Colesanti

Common Coauthors

Coauthor	Papers Together
Eugenia Saorín Gómez	13
Fabian Mussnig	12
Monika Ludwig	12
Daniel Hug	11
Paolo Salani	9
Galyna V. Livshyts	9
Daniele Pagnini	9
Paolo Gronchi	7
Chiara Bianchini	7
Judit Abardia-Evéquoz	6
Gabriele Bianchi	6
Nico Lombardi	5
Stefano Campi	5
Ilaria Fragalà	5
Ignacio Villanueva	5
Pedro Tradacete	4
Arnaud Marsiglietti	4
Eugenia Saorín-Gómez	3
Carlo Pucci	3
Franck Barthe	3
Károly J. Böröczky	3
Alberto Roncoroni	3
Lukas Parapatits	3
Elisa Francini	2
Sergey G. Bobkov	2
Paola Cuoghi	2
Michele Fimiani	2
Jesús Yepes Nicolás	2
Deane Yang	1
Elena Villa	1
Lorenzo Cavallina	1
Jesús Yepes Nicolás	1
Eugenia Saor	1
Da Yang	1
Shiri Artstein-Avidan	1
Paolo Manselli	1
Alexander V. Kolesnikov	1
Jie Xiao	1
S. G. Bobkov	1
Pedro Tradacete	1
Jonas Knoerr	1
Liran Rotem	1
Ilaria Fragala'	1
Luigi Ambrosio	1
Kaj Nyström	1
Judit Abardia	1
Chiara Bianchini	1
Lei Qin	1
G. Zhang	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Convex Bodies: The Brunn–Minkowski Theory	1993	Rolf Schneider	39
+ PDF Chat	The Brunn-Minkowski inequality	2002	Richard J. Gardner	25
+	Valuations on Sobolev spaces	2012	Monika Ludwig	23
+	Convex Bodies The Brunn-MinkowskiTheory	2013	Rolf Schneider	20
+	Valuations on function spaces	2011	Monika Ludwig	16
+	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	16
+ PDF Chat	Monotone Valuations on the Space of Convex Functions	2015	Lorenzo Cavallina Andrea Colesanti	15
+	Introduction to geometric probability	1998	Gian‐Carlo Rota	15
+	Fisher information and matrix-valued valuations	2010	Monika Ludwig	14
+ PDF Chat	The Brunn-Minkowski-Firey theory. I. Mixed volumes and the Minkowski problem	1993	Erwin Lutwak	13
+	On the regularity of the solution of the <i>n</i>‐dimensional Minkowski problem	1976	Shiu‐Yuen Cheng Shing‐Tung Yau	12
+	Brunn–Minkowski inequalities for variational functionals and related problems	2004	Andrea Colesanti	11
+ PDF Chat	Continuous Rotation Invariant Valuations on Convex Sets	1999	Semyon Alesker	11
+	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	11
+ PDF Chat	Minkowski valuations intertwining the special linear group	2012	Christoph Haberl	11
+	Valuations on Lp-Spaces	2010	Chi Him A. Tsang	11
+ PDF Chat	The logarithmic Minkowski problem	2012	Károly J. Böröczky Erwin Lutwak Deane Yang Gaoyong Zhang	10
+	Hermitian integral geometry	2011	Andreas Bernig Joseph H. G. Fu	10
+	Geometry of Log-concave Functions and Measures	2005	Bo’az Klartag Vitali Milman	10
+	Mixed integrals and related inequalities	2012	Vitali Milman Liran Rotem	10
+	The log-Brunn–Minkowski inequality	2012	Károly J. Böröczky Erwin Lutwak Deane Yang Gaoyong Zhang	9
+ PDF Chat	Hadwiger’s Theorem for definable functions	2013	Yuliy Baryshnikov Robert Ghrist Matthew Wright	9
+	Capacitary inequalities of the Brunn-Minkowski type	1983	Christer Borell	9
+	A minkowski problem for electrostatic capacity	1996	David Jerison	9
+	A classification of SL(n) invariant valuations	2010	Monika Ludwig Matthias Reitzner	9
+ PDF Chat	Minkowski valuations on $L^{p}$-spaces	2012	Andy Tsang	9
+ PDF Chat	Real-valued valuations on Sobolev spaces	2015	Dan Ma	9
+	Covariance matrices and valuations	2013	Monika Ludwig	8
+ PDF Chat	Valuations on the Space of Quasi-Concave Functions	2017	Andrea Colesanti Nico Lombardi	8
+ PDF Chat	From Brunn–Minkowski to sharp Sobolev inequalities	2007	Sergey G. Bobkov Michel Ledoux	8
+	Laplace transforms and valuations	2016	Jin Li Dan Ma	8
+	Geometric Measure Theory	1988	Herbert Fédérer	8
+	Convex set functions ind-space	1975	Christer Borell	8
+	The first variation of the total mass of log-concave functions and related inequalities	2013	Andrea Colesanti Ilaria Fragalà	8
+ PDF Chat	The Centro-Affine Hadwiger Theorem	2014	Christoph Haberl Lukas Parapatits	8
+	The Brunn-Minkowski inequality for p -capacity of convex bodies	2003	Andrea Colesanti Paolo Salani	8
+	Measure Theory and Fine Properties of Functions	2018	Lawrence C. Evans Ronald F. Garzepy	8
+ PDF Chat	Minkowski valuations on convex functions	2017	Andrea Colesanti Monika Ludwig Fabian Mussnig	8
+ PDF Chat	Sharp Affine LP Sobolev Inequalities	2002	Erwin Lutwak Deane Yang Gaoyong Zhang	8
+	Valuations and Euler-Type Relations on Certain Classes of Convex Polytopes	1977	Peter McMullen	8
+ PDF Chat	Valuations on Convex Functions	2017	Andrea Colesanti Monika Ludwig Fabian Mussnig	8
+ PDF Chat	Steiner type formulae and weighted measures of singularities for semi-convex functions	2000	Andrea Colesanti Daniel Hug	7
+	Affine Moser–Trudinger and Morrey–Sobolev inequalities	2009	Andrea Cianchi Erwin Lutwak Deane Yang Gaoyong Zhang	7
+	Geometric measures in the dual Brunn–Minkowski theory and their associated Minkowski problems	2016	Yong Huang Erwin Lutwak Deane Yang Gaoyong Zhang	7
+	Radial continuous rotation invariant valuations on star bodies	2016	Ignacio Villanueva	7
+	On the Case of Equality in the Brunn-Minkowski Inequality for Capacity	2002	Luis Caffarelli David Jerison Élliott H. Lieb	7
+	Convex and Discrete Geometry	2007	Peter M. Gruber	7
+	The Direct Method in the Calculus of Variations for Convex Bodies	1996	David Jerison	7
+ PDF Chat	Asymmetric affine <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msub><mml:mi>L</mml:mi><mml:mi>p</mml:mi></mml:msub></mml:math> Sobolev inequalities	2009	Christoph Haberl Franz E. Schuster	7
+ PDF Chat	An asymmetric affine Pólya–Szegö principle	2011	Christoph Haberl Franz E. Schuster Jie Xiao	7