A Remark on the J. L. Lions Lemma and its Applications in a Variable Exponent Sobolev Space

DOI10.4208/JMS.V56N3.23.03WikidataQ124986768 ScholiaQ124986768MaRDI QIDQ6121359

Junichi Aramaki

Publication date: 26 February 2024

Published in: Journal of Mathematical Study (Search for Journal in Brave)

zbMATH Keywords

variable exponent Sobolev spacesKorn inequalityde Rham TheoremJ. L. Lions Lemma

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Quasilinear elliptic equations (35J62) Maxwell equations (35Q61)

Cites Work

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• On the J.L. Lions Lemma and its Applications to the Maxwell-Stokes Type Problem and the Korn Inequality
• Decomposition of vector spaces and application to the Stokes problem in arbitrary dimension
• Equivalent Relations with the J. L. Lions Lemma in a Variable Exponent Sobolev Space and Their Applications
• On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)

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