On the superlinear problems involving the \(p(x)\)-Laplacian and a non-local term without AR-condition

DOI10.1016/j.na.2014.02.004zbMath1293.35190OpenAlexW2074714005MaRDI QIDQ2443036

Bin Ge

Publication date: 4 April 2014

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2014.02.004

zbMATH Keywords

critical pointsnonlinear eigenvalue problemvariational method\(p(x)\)-Laplaciansuperlinear problems

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30)

Related Items (4)

Infinitely many solutions for differential inclusion problems in \(\mathbb R^N\) involving the \(p(x)\)-Laplacian ⋮ The application of the nonsmooth critical point theory to the stationary electrorheological fluids ⋮ Existence and multiplicity of solutions for \(p(x)\)-curl systems without the Ambrosetti-Rabinowitz condition ⋮ Existence of nontrivial solutions for equations of \(p(x)\)-Laplace type without Ambrosetti and Rabinowitz condition

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• Sobolev embeddings with variable exponent
• Sobolev embedding theorems for spaces \(W^{k,p(x)}(\Omega)\)
• Homoclinic orbits for asymptotically linear Hamiltonian systems
• On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)

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