Strict inequalities for integrals of decreasingly rearranged functions

DOI10.1017/S0308210500026366zbMath0601.49012MaRDI QIDQ3736418

John Bryce McLeod, Avner Friedman

Publication date: 1986

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

inequalityvariational problemsdecreasing rearrangements

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Other transformations of harmonic type (42C20) Optimality conditions for free problems in two or more independent variables (49K10)

Related Items

General pointwise relations for the relative rearrangement and applications, Minimal rearrangements of Sobolev functions: A new proof., Symmetrization with Respect to a Measure, Polar factorization and pseudo-rearrangements: applications to Pólya-Szegö type inequalities, The affine Pólya-Szegö principle: equality cases and stability, Condensation phenomena of a least-energy solution to semilinear Neumann problems on piecewise smooth domains

Cites Work

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• Zur Symmetrisierung von Funktionen auf Sphären
• Isoperimetric Inequalities in Mathematical Physics. (AM-27)
• The measure of the critical values of differentiable maps