Existence and multiplicity of solutions for fourth-order elliptic Kirchhoff equations with potential term

DOI10.1080/17476933.2014.968847zbMath1319.35029OpenAlexW2085924266MaRDI QIDQ5256683

Hajar Ansari, Seyed Mansour Vaezpour

Publication date: 19 June 2015

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2014.968847

zbMATH Keywords

Mountain Pass Theoremradial solutionnodal solutionFountain Theoreminvariant sets of descending flowDual Fountain Theoremfourth-order Kirchhoff equation

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Nonlinear elliptic equations (35J60) Variational methods for higher-order elliptic equations (35J35)

Related Items (9)

Existence of positive solution for nonlocal singular fourth order Kirchhoff equation with Hardy potential ⋮ Existence results of positive solutions for Kirchhoff type biharmonic equationvia bifurcation methods ⋮ Infinitely many solutions for some fourth order elliptic equations of \(p(x)\)-Kirchhoff type ⋮ 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 \(\mathbb{R}^N\) ⋮ Least energy sign-changing solutions for fourth-order Kirchhoff-type equation with potential vanishing at infinity ⋮ Multiple solutions for a fourth-order elliptic equation of Kirchhoff type with variable exponent ⋮ Sign-changing solutions for Schrödinger-Kirchhoff-type fourth-order equation with potential vanishing at infinity ⋮ Existence and multiplicity of solutions for nonhomogeneous Schrödinger-Kirchhoff-type Fourth-order elliptic equations in \(\mathbb{R}^N\)

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