Infinitely Many Solutions for Schrödinger–Kirchhoff-Type Fourth-Order Elliptic Equations

DOI10.1017/S001309151600047XzbMath1377.35083OpenAlexW2581117927MaRDI QIDQ4588357

Caisheng Chen, Hongxue Song

Publication date: 26 October 2017

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s001309151600047x

zbMATH Keywords

biharmonic operatorKirchhoff-type equation

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Higher-order elliptic equations (35J30)

Related Items (11)

Multiplicity of solutions to the generalized extensible beam equations with critical growth ⋮ Existence results of positive solutions for Kirchhoff type biharmonic equationvia bifurcation methods ⋮ Infinitely many high energy solutions for nonlocal fourth-order equation with sigh-changing potential ⋮ Infinitely many solutions for some fourth order elliptic equations of \(p(x)\)-Kirchhoff type ⋮ Ground state solution for a fourth order elliptic equation of Kirchhoff type with critical growth in \(\mathbb{R}^N\) ⋮ Unnamed Item ⋮ ON A CLASS OF NONCOOPERATIVE FOURTH-ORDER ELLIPTIC SYSTEMS WITH NONLOCAL TERMS AND CRITICAL GROWTH ⋮ Solutions for fourth-order Kirchhoff type elliptic equations involving concave-convex nonlinearities in \(\mathbb{R}^N\) ⋮ Fourth-order nonlocal type elliptic problems with indefinite nonlinearities ⋮ Existence of nonnegative solutions for fourth order elliptic equations of Kirchhoff type with general subcritical growth ⋮ Two solutions for a fourth order nonlocal problem with indefinite potentials

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