Ground state solutions and multiple solutions for ap(x)-Laplacian equation in with periodic data

DOI10.1080/17476933.2016.1245724zbMath1369.35022OpenAlexW2535578373MaRDI QIDQ2980777

Jie Liao, Binlin Zhang, Chao Ji

Publication date: 3 May 2017

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

Full work available at URL: https://doi.org/10.1080/17476933.2016.1245724

zbMATH Keywords

Nehari manifold\(p(x)\)-Laplacianground state solutions

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60)

Related Items (1)

Nehari-type ground state solutions for superlinear elliptic equations with variable exponent in \(\mathbb{R}^N\)

Cites Work

• Lebesgue and Sobolev spaces with variable exponents
• Ground state solutions for some indefinite variational problems
• Electrorheological fluids: modeling and mathematical theory
• Multiple solutions for a quasilinear Schrödinger equation
• Nonlinear elliptic equations with variable exponent: old and new
• Existence of stationary states for \(A\)-Dirac equations with variable growth
• \(p(x)\)-Laplacian equations in \(\mathbb R^N\) with periodic data and nonperiodic perturbations
• Stationary waves of Schrödinger-type equations with variable exponent
• On a progress in the theory of lebesgue spaces with variable exponent: maximal and singular operators
• Partial Differential Equations with Variable Exponents
• Compact imbedding theorems with symmetry of Strauss-Lions type for the space \(W^{1,p(x)}(\Omega)\)
• 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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