One-dimensional nonlinear boundary value problems with variable exponent

DOI10.3934/dcdss.2018011zbMath1414.34017OpenAlexW2765228071MaRDI QIDQ1677392

Giuseppina D'Aguì, Gabriele Bonanno, Angela Sciammetta

Publication date: 21 November 2017

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2018011

zbMATH Keywords

Dirichlet problem$p(x)$-Laplacian

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Nonlinear boundary value problems for ordinary differential equations (34B15)

Related Items (3)

Existence of weak solutions for second-order boundary-value problems of Kirchhoff-type with variable exponents ⋮ Existence results for second-order boundary-value problems with variable exponents ⋮ Existence of two positive solutions for anisotropic nonlinear elliptic equations

Cites Work

• A critical point theorem via the Ekeland variational principle
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• Variable Lebesgue spaces. Foundations and harmonic analysis
• Existence and multiplicity of weak solutions for elliptic Dirichlet problems with variable exponent
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• Orlicz spaces and modular spaces
• New diffusion models in image processing
• Existence of solutions for \(p(x)\)-Laplacian Dirichlet problem.
• Remarks on Ricceri's variational principle and applications to the \(p(x)\)-Laplacian equations
• Relations between the mountain pass theorem and local minima
• Discontinuous elliptic problems involving the p(x)‐Laplacian
• 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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