Existence and multiplicity of solutions for Dirichlet problem of \(p(x)\)-Laplacian type without the Ambrosetti-Rabinowitz condition

DOI10.1016/J.JMAA.2020.123882zbMath1473.35311OpenAlexW3004492871MaRDI QIDQ2033251

Sitong Chen, Xian Hua Tang

Publication date: 14 June 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2020.123882

zbMATH Keywords

existencevariational methods\(p(x)\)-Laplacian

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (4)

Nehari type ground state solutions for periodic Schrödinger–Poisson systems with variable growth ⋮ Existence and multiplicity of solutions for a new \(p(x)\)-Kirchhoff problem with variable exponents ⋮ The existence and multiplicity of solutions for \(p(x)\)-Laplacian-like Neumann problems ⋮ Recent developments in problems with nonstandard growth and nonuniform ellipticity

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