Isoperimetric inequalities for -Hessian equations

DOI10.1515/ANONA-2011-0006zbMath1277.35016OpenAlexW2320077267MaRDI QIDQ2867306

Giovanni Porru, A. Safoui, Ahmed Mohammed

Publication date: 11 December 2013

Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/anona-2011-0006

zbMATH Keywords

eigenvaluesisoperimetric inequalitiesrearrangementsMonge-Ampère type equations

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Inequalities and extremum problems involving convexity in convex geometry (52A40) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23) Comparison principles in context of PDEs (35B51) Monge-Ampère equations (35J96)

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A best possible maximum principle and an overdetermined problem for a generalized Monge-Ampère equation ⋮ A sharp global estimate and an overdetermined problem for Monge-Ampère type equations

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