Rearrangements and the Monge-Ampère equations

DOI10.1007/S00209-024-03557-XMaRDI QIDQ6593021

Zbigniew Błocki

Publication date: 26 August 2024

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

zbMATH Keywords

isoperimetric inequalitiesconvex functionsplurisubharmonic functionssubharmonic functionsMonge-Ampère equations

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Complex Monge-Ampère operators (32W20) Plurisubharmonic functions and generalizations (32U05) Monge-Ampère equations (35J96)

Cites Work

• Title not available (Why is that?)
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• Extended affine surface area
• The quermassintegral inequalities for \(k\)-convex starshaped domains
• On symmetrization and Hessian equations
• The Dirichlet problem for a complex Monge-Ampère equation
• The Dirichlet problem for the multidimensional Monge-Ampère equation
• The complex Monge-Ampère equation
• Polya's inequalities, global uniform integrability and the size of plurisubharmonic lemniscates
• Some sufficient conditions for solvability of the Dirichlet problem for the complex Monge-Ampère operator
• The dirichlet problem for nonlinear second-order elliptic equations. II. Complex monge-ampère, and uniformaly elliptic, equations
• Uniform estimates and blow–up behavior for solutions of −δ(u)=v(x)e^uin two dimensions
• Cauchy–Riemann meet Monge–Ampère
• Symmetrization of plurisubharmonic and convex functions
• Affine surface area
• Corrigendum to: ``Integral formulas for a class of curvature PDEs and applications to isoperimetric inequalities and to symmetry problems

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