MULTIPLICITY OF MULTI-BUMP TYPE NODAL SOLUTIONS FOR A CLASS OF ELLIPTIC PROBLEMS WITH EXPONENTIAL CRITICAL GROWTH IN R2

被引：7
|
作者：
Alves, Claudianor O. [1 ]
Pereira, Denilson S. [1 ]
机构：
[1] Univ Fed Campina Grande, Unidade Acad Matemat UAMat, BR-58429900 Campina Grande, PB, Brazil
来源：
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY | 2017年 / 60卷 / 02期
关键词：
variational methods; exponential critical growth; nodal solution; POSITIVE SOLUTIONS; EXISTENCE; EQUATION;
D O I：
10.1017/S0013091516000158
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we establish the existence and multiplicity of multi-bump nodal solutions for the class of problems -Delta u + (lambda V(x) + 1)u = f (u) in R-2, where lambda is an element of (0, infinity), f is a continuous function with exponential critical growth and V: R-2 -> R is a continuous function verifying some hypotheses.
引用
收藏
页码：273 / 297
页数：25
相关论文
共 50 条
12345