Existence and multiplicity results for nonlinear problems involving the p(x)-Laplace operator

DOI10.7494/OPMATH.2014.34.3.621zbMath1332.35123MaRDI QIDQ3458980

Omar Darhouche, Najib Tsouli

Publication date: 29 December 2015

Published in: Opuscula Mathematica (Search for Journal in Brave)

zbMATH Keywords

critical pointsvariational method\(p(x)\)-Laplaciangeneralized Lebesgue-Sobolev spaces

Mathematics Subject Classification ID

Variational methods for second-order elliptic equations (35J20) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Positive solutions to PDEs (35B09) Quasilinear elliptic equations with (p)-Laplacian (35J92) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)

Related Items (6)

Three solutions for a nonlinear Neumann boundary value problem ⋮ Existence of solutions for a Robin problem involving the \(p(x)\)-Laplace operator ⋮ Three solutions to a Robin problem with two weighted generalized variable exponent Sobolev spaces ⋮ Some remarks on a class of \(p(x)\)-Laplacian Robin eigenvalue problems ⋮ Unnamed Item ⋮ On a Robin type problem involving \(p(x)\)-Laplacian operator

Cites Work

• Unnamed Item
• Unnamed Item
• Remarks on the existence of three solutions for the \(p(x)\)-Laplacian equations
• A three critical points theorem revisited
• Positive solutions for robin problem involving the \(p(x)\)-Laplacian
• Three solutions to a Neumann problem for elliptic equations involving the \(p\)-Laplacian
• On a three critical points theorem
• Existence of solutions for \(p(x)\)-Laplacian Dirichlet problem.
• Minimax theorems
• Dual variational methods in critical point theory and applications
• Solutions for Neumann boundary value problems involving \(p(x)\)-Laplace operators
• Existence of solutions for \(p(x)\)-Laplacian problems on a bounded domain
• Three solutions for a nonlinear Neumann boundary value problem
• Boundary eigencurve problems involving the biharmonic operator
• Multiple solutions for a Robin-type differential inclusion problem involving the p (x )-Laplacian
• AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY
• Thin Films with High Surface Tension
• Infinitely many solutions of a symmetric Dirichlet problem
• Variable Exponent, Linear Growth Functionals in Image Restoration
• Existence and multiplicity of solutions for a Neumann problem involving the \(p(x)\)-Laplace operator
• Regularity results for a class of functionals with non-standard growth
• Existence of three solutions for a class of elliptic eigenvalue problems
• Sobolev embedding theorems for spaces \(W^{k,p(x)}(\Omega)\)

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