title: Infinitely many homoclinic solutions for second order nonlinear difference equations with p-Laplacian.
abstract: We employ Nehari manifold methods and critical point theory to study the existence of nontrivial homoclinic solutions of discrete p-Laplacian equations with a coercive weight function and superlinear nonlinearity. Without assuming the classical Ambrosetti-Rabinowitz condition and without any periodicity assumptions, we prove the existence and multiplicity results of the equations.
authors: Department of Applied Mathematics, Yuncheng University, Yuncheng 044000, China.
authors: Guowei
authors: G
authors: Sun
authors: Department of Applied Mathematics, Yuncheng University, Yuncheng 044000, China ; School of Mathematics and Information Science, Guangzhou University, Guangzhou, Guangdong 510006, China.
authors: Ali
authors: A
authors: Mai