EXISTENCE OF THREE SOLUTIONS FOR A QUASILINEAR ELLIPTIC EQUATION INVOLVING THE p(x)–LAPLACE OPERATOR

DOI10.5644/SJM.10.2.04zbMath1322.35041MaRDI QIDQ5262311

Mustafa Avci, Rabil Ayazoglu (Mashiyev)

Publication date: 13 July 2015

Published in: Sarajevo Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

multiplicityquasilinear elliptic equationNeumann boundary conditionvariational approach\(p(x)\)-Laplacianvariable exponent Lebesgue and Sobolev spacesthree weak solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Weak solutions to PDEs (35D30) Variational methods for higher-order elliptic equations (35J35) Quasilinear elliptic equations with (p)-Laplacian (35J92)

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