Isoperimetric, Sobolev, and eigenvalue inequalities via the Alexandroff-Bakelman-Pucci method: a survey

DOI10.1007/s11401-016-1067-0zbMath1366.49053arXiv1507.04563OpenAlexW2256291819MaRDI QIDQ523799

Xavier Cabré

Publication date: 21 April 2017

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.04563

zbMATH Keywords

isoperimetric inequalitiesprincipal eigenvalueWulff shapesABP estimate

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Variational problems in a geometric measure-theoretic setting (49Q20) Length, area, volume, other geometric measure theory (28A75) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

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