On monotonicity of some functionals with variable exponent under symmetrization

DOI10.1080/00036811.2018.1437420zbMath1412.26041arXiv1711.05841OpenAlexW2963707455MaRDI QIDQ4628947

Alexander I. Nazarov, Sergeĭ V. Bankevich

Publication date: 25 March 2019

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

Full work available at URL: https://arxiv.org/abs/1711.05841

zbMATH Keywords

Sobolev spacessymmetrizationrearrangement inequalities

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15)

Cites Work

• The art of rearranging
• On variational problems and nonlinear elliptic equations with nonstandard growth conditions
• Lebesgue and Sobolev spaces with variable exponents
• Weighted Dirichlet-type inequalities for Steiner symmetrization
• On the Pólya-Szégö inequality for functionals with variable exponent
• On monotonicity of some functionals under rearrangements
• Unnamed Item

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