General pointwise relations for the relative rearrangement and applications

DOI10.1080/00036810108840989zbMath1034.35037OpenAlexW1996018457MaRDI QIDQ3152187

Jean Michel Rakotoson

Publication date: 22 October 2002

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810108840989

zbMATH Keywords

parabolic elliptic equationsPoincaré-Sobolev pointwise inequalitiesPolyà-Szëgo pointwise inequalities

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) Initial-boundary value problems for second-order parabolic equations (35K20) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Nonlinear elliptic equations (35J60)

Related Items

Compactness, interpolation inequalities for small Lebesgue-Sobolev spaces and applications, Multivalued fixed point index and nonlocal problems involving relative rearrangement, Lipschitz properties in variable exponent problems via relative rearrangement, Polar factorization and pseudo-rearrangements: applications to Pólya-Szegö type inequalities, Relative rearrangement and Lebesgue spaces \(L^p(\cdot)\) with variable exponent, Small Lebesgue spaces and their applications

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