Existence and Regularity of a Weak Solution to a Class of Systems in a Multi-Connected Domain

DOI10.4208/JPDE.V32.N1.1zbMath1449.35133OpenAlexW2936209984WikidataQ128064012 ScholiaQ128064012MaRDI QIDQ5209785

Junichi Aramaki

Publication date: 22 January 2020

Published in: Journal of Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/jpde.v32.n1.1

zbMATH Keywords

regularityweak solutionvariational problem\(p\)-curl system

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Weak solutions to PDEs (35D30) Second-order elliptic systems (35J47)

Related Items (9)

Equivalent Relations with the J. L. Lions Lemma in a Variable Exponent Sobolev Space and Their Applications ⋮ Existence of weak solutions for a nonlinear problem involving \(p(\cdot)\)-Laplacian operator with mixed boundary conditions ⋮ Mixed boundary value problem for a class of quasi-linear elliptic operators containing p-Laplacian ⋮ Unnamed Item ⋮ Existence of a solution for a stationary Maxwell-Stokes type system ⋮ On the de Rham theorem and an application to the Maxwell-Stokes type problem ⋮ Existence of weak solution for a class of abstract coupling system associated with stationary electromagnetic system ⋮ On a version of the de Rham theorem and an application to the Maxwell-Stokes type problem ⋮ Applications of a version of the de Rham lemma to the existence theory of a weak solution to the Maxwell-Stokes type equation

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