Existence and multiplicity of solutions to a p(x)-Laplacian equation with nonlinear boundary condition on unbounded domain

DOI10.7153/dea-05-35zbMath1282.35174OpenAlexW2329353399WikidataQ115158012 ScholiaQ115158012MaRDI QIDQ2868078

Duchao Liu, Qiao Liu

Publication date: 23 December 2013

Published in: Differential Equations & Applications (Search for Journal in Brave)

Full work available at URL: http://files.ele-math.com/articles/dea-05-35.pdf

zbMATH Keywords

variational method\(p(x)\)-Laplacian equationnonlinear boundaryweighted variable exponent Lebesgue spaceweighted variable exponent Sobolev space

Mathematics Subject Classification ID

Variational methods for second-order elliptic equations (35J20) Positive solutions to PDEs (35B09) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)

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Existence and multiplicity of weak solutions for eigenvalue Robin problem with weighted \(p(.)\)-Laplacian ⋮ Three solutions to a Steklov problem involving the weighted \(p(\cdot)\)-Laplacian ⋮ Compact embeddings of weighted variable exponent Sobolev spaces and existence of solutions for weighted p (·)-Laplacian ⋮ Unnamed Item

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