Existence and multiplicity of solutions for a class of \(p(x)\)-biharmonic equations

DOI10.1016/S0252-9602(12)60202-1zbMath1289.35081OpenAlexW2039416181MaRDI QIDQ377953

Chun-Lei Tang, Lin Li

Publication date: 19 November 2013

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0252-9602(12)60202-1

zbMATH Keywords

critical pointsvariational methodvariable exponentCerami condition\(p(x)\)-biharmonic equation

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for higher-order elliptic equations (35J35) Quasilinear elliptic equations (35J62)

Related Items

Multiplicity of Solutions for Some $p(x)$-Biharmonic Problem, On the discretization of evolution <i>p</i>-bi-Laplace equation, Nonlocal fourth-order Kirchhoff systems with variable growth: low and high energy solutions, Unnamed Item, Unnamed Item, Existence and multiplicity of solutions for \(p(x)\)-Laplacian equations in \(\mathbb {R}^N\), Multiple solutions for a fourth-order elliptic equation involving singularity, Existence and Asymptotic Behavior of Beam-Equation Solutions with Strong Damping and p(x)-Biharmonic Operator, The infimum eigenvalue for degenerate p(x)-biharmonic operator with the Hardy potentiel, Ground-state solution for a class of biharmonic equations including critical exponent, Existence of beam-equation solutions with strong damping and p(x)-biharmonic operator, Fourth-order problems with Leray-Lions type operators in variable exponent spaces, Least energy nodal solution for quasilinear biharmonic equations with critical exponent in \(\mathbb{R}^N\), On a \(p(\cdot)\)-biharmonic problem with no-flux boundary condition, Existence results of infinitely many solutions for \(p(x)\)-Kirchhoff type triharmonic operator with Navier boundary conditions