Necessary and sufficient conditions for rigidity of Pólya-Szegö inequality under Schwarz symmetrisation

DOI10.1007/s00030-024-01005-7MaRDI QIDQ6646134

Filippo Cagnetti

Publication date: 29 November 2024

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

zbMATH Keywords

Sobolev functionsPólya-Szegö inequalityDirichlet integralsrearrangements of functions

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Variational problems in a geometric measure-theoretic setting (49Q20) Optimization of shapes other than minimal surfaces (49Q10) Inequalities involving derivatives and differential and integral operators (26D10)

Cites Work

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