Infinitely many weak solutions forp(x)-Laplacian-like problems with Neumann condition

DOI10.1080/17476933.2016.1278438zbMath1393.35038OpenAlexW2586755616MaRDI QIDQ5374172

Saeid Shokooh, Mukhtar Bin Muhammad Kirane, Ghasem Alizadeh Afrouzi

Publication date: 9 April 2018

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2016.1278438

zbMATH Keywords

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

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Quasilinear elliptic equations with (p)-Laplacian (35J92) Boundary value problems for higher-order elliptic systems (35J58)

Related Items (8)

Variational approaches to \(P(X)\)-Laplacian-like problems with Neumann condition originated from a capillary phenomena ⋮ Multiple solutions for two general classes of anisotropic systems with variable exponents ⋮ A model of capillary phenomena in \(\mathbb{R}^N\) with subcritical growth ⋮ Existence of Weak Solution for $p(x)$-Kirchhoff Type Problem Involving the $p(x)$-Laplacian-like Operator by Topological Degree ⋮ Existence of weak solutions for \(p(x)\)-Laplacian-like problem with \(p(x)\)-Laplacian operator under Neumann boundary condition ⋮ Unnamed Item ⋮ Weak solution of a Neumann boundary value problem with \(p(x)\)-Laplacian-like operator ⋮ An elliptic equation on n-dimensional manifolds

Cites Work

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• Multiplicity of solutions on a nonlinear eigenvalue problem for \(p(x)\)-Laplacian-like operators
• Infinitely many solutions to elliptic problems with variable exponent and nonhomogeneous Neumann conditions
• Arbitrarily small weak solutions for a nonlinear eigenvalue problem in Orlicz-Sobolev spaces
• Multiple solutions for a Neumann problem involving the \(p(x)\)-Laplacian
• Density \(C_0^{\infty}(\mathbb{R}^n)\) in the generalized Sobolev spaces \(W^{m,p(x)}(\mathbb{R}^n)\).
• Existence of solutions for \(p(x)\)-Laplacian Dirichlet problem.
• Minimax theorems
• Positive solutions of the Dirichlet problem for the prescribed mean curvature equation
• A general variational principle and some of its applications
• Infinitely many solutions for systems of multi-point boundary value problems using variational methods
• Sequences of Weak Solutions for Non-Local Elliptic Problems with Dirichlet Boundary Condition
• A VARIATIONAL APPROACH FOR ONE-DIMENSIONAL PRESCRIBED MEAN CURVATURE PROBLEMS
• Infinitely many solutions for Steklov problems associated to non-homogeneous differential operators through Orlicz-Sobolev spaces
• Infinitely many solutions for a Dirichlet problem involving the p-Laplacian
• Variational problems on the Sphere
• On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)

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