Sign changing solutions of the \(p(x)\)-Laplacian equation

DOI10.1007/s12044-013-0150-7zbMath1311.35098OpenAlexW2028595017MaRDI QIDQ2253669

Bin Ge

Publication date: 12 February 2015

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12044-013-0150-7

zbMATH Keywords

elliptic equationnodal solutionNehari manifold\(p(x)\)-Laplacian

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Variational methods for higher-order elliptic equations (35J35)

Cites Work

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• Sobolev embeddings with variable exponent
• Variable Exponent, Linear Growth Functionals in Image Restoration
• Sobolev embedding theorems for spaces \(W^{k,p(x)}(\Omega)\)

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