Infinitely many solutions for \(p(x)\)-Laplacian-like Neumann problems with indefinite weight

DOI10.1007/s00009-019-1339-5zbMath1421.35179OpenAlexW2936185851WikidataQ128049690 ScholiaQ128049690MaRDI QIDQ2424059

Ke-Qi Wang, Qing-Mei Zhou

Publication date: 24 June 2019

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

Full work available at URL: https://doi.org/10.1007/s00009-019-1339-5

zbMATH Keywords

variational methodNeumann probleminfinitely many solutions\(p(x)\)-Laplacian

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Variational methods for higher-order elliptic equations (35J35) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Cites Work

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• Orlicz spaces and modular spaces
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• Minimax theorems
• Eigenvalues of the \(p(x)\)-Laplacian Neumann problems
• OnL^p(x)norms
• Sobolev embeddings with variable exponent
• ON SUPERLINEAR p(x)-LAPLACIAN-LIKE PROBLEM WITHOUT AMBROSETTI AND RABINOWITZ CONDITION
• Variational Methods
• Sobolev embedding theorems for spaces \(W^{k,p(x)}(\Omega)\)
• On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)

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