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.

引用

页码：2943 / 2956

页数：14

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