Nonlinear elliptic problems involving the anisotropic \((p(\vec{x}),q(\vec{x}))\) system

zbMath1353.35145MaRDI QIDQ326944

Abderrahim El Attar

Publication date: 12 October 2016

Published in: Asia Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://apjm.apacific.org/PDFs/3-1-48-63.pdf

zbMATH Keywords

weak solutionanisotropic systemRicceri's principlevariable exponent equation

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Weak solutions to PDEs (35D30) Variational methods for higher-order elliptic equations (35J35) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)

Cites Work

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• Existence and multiplicity of solutions for an anisotropic elliptic problem involving variable exponent growth conditions
• On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)

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