On the isoperimetric nature of a rearrangement inequality and its consequences for some variational problems

DOI10.1007/BF00279864zbMath0603.49030MaRDI QIDQ1082606

Bernhard Kawohl

Publication date: 1986

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

zbMATH Keywords

isoperimetric problemDirichlet integralrearrangement by symmetrization

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Variational problems in a geometric measure-theoretic setting (49Q20) Other analytical inequalities (26D20)

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