Existence results for a class of nonlocal problems involving \(p(x)\)-Laplacian

DOI10.1007/S40065-014-0115-4zbMath1317.35063OpenAlexW1823085969WikidataQ59424739 ScholiaQ59424739MaRDI QIDQ2018837

Mostafa Allaoui

Publication date: 25 March 2015

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

Full work available at URL: https://doi.org/10.1007/s40065-014-0115-4

zbMATH Keywords

weak solutionsMountain Pass Theorem\(p(x)\)-Kirchhoff problem

Mathematics Subject Classification ID

Variational methods for elliptic systems (35J50) Weak solutions to PDEs (35D30) Higher-order elliptic systems (35J48)

Related Items (2)

The fibering map approach to a nonlocal problem involving \(p(x)\)-Laplacian ⋮ Existence results for a class of nonlocal problems involvingp(x)-Laplacian

Cites Work

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• Global nonexistence for nonlinear Kirchhoff systems
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• Dual variational methods in critical point theory and applications
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• AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY
• Sobolev embeddings with variable exponent
• On the Well-Posedness of the Kirchhoff String
• Variable Exponent, Linear Growth Functionals in Image Restoration
• Mountain pass solutions for nonlocal equations
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• Sobolev embedding theorems for spaces \(W^{k,p(x)}(\Omega)\)
• Global existence and uniform decay rates for the Kirchhoff-Carrier equation with nonlinear dissipation
• On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)

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