Multiplicity of solutions for fourth-order elliptic equations of Kirchhoff type with critical exponent

DOI10.1007/s10883-016-9331-xzbMath1371.35061OpenAlexW2413182748MaRDI QIDQ2364391

Yueqiang Song, Shaoyun Shi

Publication date: 19 July 2017

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10883-016-9331-x

zbMATH Keywords

variational methodsconcentration-compactness principlefourth-order elliptic equations of Kirchhoff type

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)

Related Items (14)

On the p-Laplacian Kirchhoff–Schrödinger equation with potentials vanishing or unbounded at infinity in R3 ⋮ High perturbations of a new Kirchhoff problem involving the \(p\)-Laplace operator ⋮ Multiplicity of solutions to the generalized extensible beam equations with critical growth ⋮ Existence and uniqueness of solution to a fourth-order Kirchhoff type elliptic equation with strong singularity ⋮ Ground state solution for a fourth order elliptic equation of Kirchhoff type with critical growth in \(\mathbb{R}^N\) ⋮ Existence and concentration of solutions for a class of biharmonic Kirchhoff equations with discontinuous nonlinearity ⋮ ON A CLASS OF NONCOOPERATIVE FOURTH-ORDER ELLIPTIC SYSTEMS WITH NONLOCAL TERMS AND CRITICAL GROWTH ⋮ Multiple solutions for critical fourth-order elliptic equations of Kirchhoff type ⋮ Positive solution for an indefinite fourth-order nonlocal problem ⋮ Existence of nonnegative solutions for fourth order elliptic equations of Kirchhoff type with general subcritical growth ⋮ Least energy sign-changing solutions for fourth-order Kirchhoff-type equation with potential vanishing at infinity ⋮ Two solutions for a fourth order nonlocal problem with indefinite potentials ⋮ Multiplicity of solutions for Kirchhoff-type problem with two-superlinear potentials ⋮ Sign-changing solutions for Schrödinger-Kirchhoff-type fourth-order equation with potential vanishing at infinity

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