Existence and multiplicity of solutions for Kirchhoff type problems involving \(p(x)\)-biharmonic operators

DOI10.4171/ZAA/1512zbMath1302.35155OpenAlexW2078341070MaRDI QIDQ399439

M. Mirzapour, Ghasem Alizadeh Afrouzi, Nguyen Thanh Chung

Publication date: 19 August 2014

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/1512

zbMATH Keywords

mountain pass theoremEkeland's variational principleKirchhoff type problems\(p(x)\)-biharmonic operators

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Weak solutions to PDEs (35D30)

Related Items (11)

On a \(p(x)\)-biharmonic Kirchhoff type problem with indefinite weight and no flux boundary condition ⋮ On a \(p\left( x\right)\)-biharmonic Kirchhoff problem with Navier boundary conditions ⋮ Infinitely many solutions for some fourth order elliptic equations of \(p(x)\)-Kirchhoff type ⋮ On the behavior of solutions for a class of nonlinear viscoelastic fourth-order \(p(x)\)-Laplacian equation ⋮ Existence of solutions for a p(x)-biharmonic problem under Neumann boundary conditions ⋮ New class of sixth-order nonhomogeneous \(p(x)\)-Kirchhoff problems with sign-changing weight functions ⋮ Multiple solutions for a non-cooperative elliptic system of Kirchhoff type involving \(p\)-biharmonic operator and critical growth ⋮ Multiplicity of solutions for a class of fourth-order elliptic equations of \(p(x)\)-Kirchhoff type ⋮ Multiple solutions for a fourth-order elliptic equation of Kirchhoff type with variable exponent ⋮ Unnamed Item ⋮ Existence of solutions for systems arising in electromagnetism

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