Multiple solutions for a perturbed fourth-order Kirchhoff type elliptic problem

DOI10.4171/PM/1940zbMath1303.35016OpenAlexW1974862164MaRDI QIDQ2452052

Arezoo Solimaninia, Somaye Khademloo, Shapour Heidarkhani

Publication date: 28 May 2014

Published in: Portugaliae Mathematica. Nova Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/pm/1940

zbMATH Keywords

variational methodscritical point theorymultiple solutionsperturbed fourth-order Kirchhoff-type elliptic problem

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Weak solutions to PDEs (35D30) Variational methods for higher-order elliptic equations (35J35)

Related Items (13)

Perturbed nonlocal fourth order equations of Kirchhoff type with Navier boundary conditions ⋮ Multiple solutions for a class of perturbed second-order differential equations with impulses ⋮ Unnamed Item ⋮ Infinitely many solutions for some fourth order elliptic equations of \(p(x)\)-Kirchhoff type ⋮ Existence results for perturbed fourth-order Kirchhoff type elliptic problems with singular term ⋮ Unnamed Item ⋮ On fourth-order elliptic equations of Kirchhoff type with dependence on the gradient and the Laplacian ⋮ Multiplicity results for perturbed fourth-order Kirchhoff-type problems ⋮ Multiple solutions for a perturbed fourth-order problem on \(\mathbb R^N\) ⋮ Perturbed fourth-order Kirchhoff-type problems ⋮ Existence of nonnegative solutions for fourth order elliptic equations of Kirchhoff type with general subcritical growth ⋮ Multiplicity of solutions for a class of fourth-order elliptic equations of \(p(x)\)-Kirchhoff type ⋮ Unnamed Item

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