Multiple Solutions for Schrodinger Equations Involving Concave-Convex Nonlinearities Without (AR)-Type Condition

被引：2
|
作者：
Zheng, Qin [1 ]
Wu, Dong-Lun [1 ,2 ]
机构：
[1] Southwest Petr Univ, Sch Sci, Chengdu 610500, Sichuan, Peoples R China
[2] Civil Aviat Flight Univ China, Colloge Comp Sci & Technol, Guanghan 618307, Sichuan, Peoples R China
来源：
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2021年 / 44卷 / 05期
关键词：
Multiple solutions; Schrodinger equations; Concave-convex nonlinearities; Mountain Pass Theorem; Variational methods; Growth condition;
D O I：
10.1007/s40840-021-01096-w
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We obtain the multiplicity of solutions for the following Schrodinger equations {-Delta u + V(x)u = g(x, u) for x is an element of R-N, u(x) -> 0 as vertical bar u vertical bar -> infinity, where V is an element of C(R-N, R) is coercive at infinity and g involves concave-convex nonlinearities while the convex terms need not to satisfy the (AR)-type condition. Some new nonlinearities are considered and an example is given.
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页码：2943 / 2956
页数：14
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