Existence and multiplicity of systems of Kirchhoff-type equations with general potentials

摘要

Undermore relaxed assumptions on V(x) and F(x, u, v), we first prove the existence of at least two nontrivial solutions for the aforementioned system by using Morse theory in combination with local linking arguments. Then by using the Clark theorem, the existence results of at least 2k distinct pairs of solutions are obtained. Some recent results fromthe literature are extended. Copyright (C)2016 JohnWiley & Sons, Ltd.