Multiple Solutions for Discrete Schrodinger Equations with Concave-Convex Nonlinearities

被引：0

作者：

Fan, Yumiao ^{[1
]}

Xie, Qilin ^{[1
]}

机构：

[1] Guangdong Univ Technol, Sch Math & Stat, Guangzhou 510520, Guangdong, Peoples R China

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2023年 / 46卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Concave-convex nonlinearities; Ground state solution; Minimizer; Nehari method; ELLIPTIC EQUATION; NEHARI MANIFOLD; GAP SOLITONS; EXISTENCE; SYSTEMS;

D O I：

10.1007/s40840-022-01410-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present paper, we study a class of discrete Schrodinger equations with concave-convex nonlinear terms via the variational method. Under certain conditions on the nonlinearities, two nontrivial solutions of the equations have been obtained by finding the minimizers on Nehari manifolds, and one of them is the ground state solution with negative energy. As we all know, there are few results on discrete systems involving concave-convex nonlinearities.

引用

页数：21

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