Andrea Colesanti

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Person:472044

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zbMath Open colesanti.andreaMaRDI QIDQ472044

List of research outcomes

PublicationDate of PublicationType
On \(p\)-Brunn-Minkowski inequalities for intrinsic volumes, with \(0\le p<1\)2023-09-07Paper
The Hadwiger theorem on convex functions. IV: The Klain approach2023-01-26Paper
The Hadwiger theorem on convex functions. III: Steiner formulas and mixed Monge-Ampère measures2022-08-01Paper
The Hadwiger theorem on convex functions, IV: The Klain approach2022-01-27Paper
The Hadwiger theorem on convex functions, III: Steiner formulas and mixed Monge-Amp\`ere measures2021-11-10Paper
The Hadwiger theorem on convex functions, II: Cauchy-Kubota formulas2021-09-20Paper
Continuous valuations on the space of Lipschitz functions on the sphere2020-12-29Paper
6. A note on the quantitative local version of the log-Brunn–Minkowski inequality2020-12-01Paper
The Hadwiger theorem on convex functions, I2020-09-08Paper
Hessian valuations2020-08-03Paper
A homogeneous decomposition theorem for valuations on convex functions2020-05-26Paper
A class of invariant valuations on \(\operatorname{Lip}(S^{n -1})\)2020-03-27Paper
Smoothness in the \(L_p\) Minkowski problem for \(p<1\)2020-03-05Paper
Valuations on Convex Functions2019-11-18Paper
The Orlicz version of the \(L_p\) Minkowski problem for \(- n < p < 0\)2019-11-07Paper
Dot product invariant valuations on Lip$(S^{n-1})$2019-06-10Paper
Minkowski additive operators under volume constraints2019-01-16Paper
The \(L_{p}\)-Minkowski problem for \(-n < p < 1\)2018-12-04Paper
Minkowski valuations under volume constraints2018-07-05Paper
Translation invariant valuations on quasi-concave functions2018-06-07Paper
Minkowski valuations on convex functions2018-01-11Paper
Log-concave functions2017-09-27Paper
Valuations on the Space of Quasi-Concave Functions2017-07-13Paper
On the stability of Brunn-Minkowski type inequalities2017-06-19Paper
Monotonicity and concavity of integral functionals involving area measures of convex bodies2017-04-06Paper
On a Linear Refinement of the Prékopa-Leindler Inequality2016-08-03Paper
The Hadamard variational formula and the Minkowski problem for \(p\)-capacity2015-10-28Paper
Monotone valuations on the space of convex functions2015-08-18Paper
A characterization of some mixed volumes via the Brunn-Minkowski inequality2014-11-18Paper
The first variation of the total mass of log-concave functions and related inequalities2014-03-03Paper
Quermassintegrals of quasi-concave functions and generalized Prékopa-Leindler inequalities2014-02-25Paper
Isoperimetry and stability of hyperplanes for product probability measures2013-04-12Paper
https://portal.mardi4nfdi.de/entity/Q30893122011-08-24Paper
The Minkowski problem for the torsional rigidity2011-02-10Paper
Functional inequalities derived from the Brunn-Minkowski inequalities for quermassintegrals2010-04-06Paper
Outer Minkowski content for some classes of closed sets2008-12-01Paper
FROM THE BRUNN–MINKOWSKI INEQUALITY TO A CLASS OF POINCARÉ-TYPE INEQUALITIES2008-12-01Paper
A sharp Rogers and Shephard inequality for the $p$-difference body of planar convex bodies2008-06-27Paper
Functional Inequalities related to the Rogers‐Shephard Inequality2007-04-23Paper
Brunn-Minkowski inequalities for two functionals involving thep-Laplace operator2006-04-19Paper
Brunn-Minkowski inequalities for variational functionals and related problems2005-06-23Paper
HESSIAN MEASURES OF CONVEX FUNCTIONS AND APPLICATIONS TO AREA MEASURES2005-04-29Paper
The Brunn-Minkowski inequality for the \(n\)-dimensional logarithmic capacity of convex bodies2005-04-28Paper
The Brunn-Minkowski inequality for \(p\)-capacity of convex bodies2004-07-07Paper
Quasi–concave envelope of a function and convexity of level sets of solutions to elliptic equations2003-10-29Paper
Hessian measures of semi-convex functions and applications to support measures of convex bodies2001-09-06Paper
Convexity and asymptotic estimates for large solutions of Hessian equations2001-06-14Paper
https://portal.mardi4nfdi.de/entity/Q42396212001-01-31Paper
Shaking compact sets2001-01-09Paper
https://portal.mardi4nfdi.de/entity/Q45197702000-12-04Paper
Steiner type formulae and weighted measures of singularities for semi-convex functions2000-05-22Paper
Hessian equations in non-smooth domains2000-05-09Paper
Blaschke-decomposable convex bodies1998-12-15Paper
Generalised solutions of Hessian equations1998-03-17Paper
https://portal.mardi4nfdi.de/entity/Q43689111998-01-28Paper
A Steiner type formula for convex functions1998-01-05Paper
Qualitative and quantitative results for sets of singular points of convex bodies1997-02-13Paper
On the second differentiability of convex surfaces1996-08-11Paper
https://portal.mardi4nfdi.de/entity/Q48715591996-03-31Paper
A Variational Problem for Harmonic Functions in Ring-Shaped Domains with Partially Free Boundary1996-02-26Paper
A symmetry result for the p-laplacian equation via the moving planes method1996-02-22Paper
Convex bodies with extremal volumes having prescribed brightness in finitely many directions1995-11-21Paper

Research outcomes over time


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