Multi-peak positive solutions for a logarithmic Schrodinger equation via variational methods

被引：8
|
作者：
Alves, Claudianor O. [1 ]
Ji, Chao [2 ]
机构：
[1] Univ Fed Campina Grande, Unidade Academ Matemat, BR-58429900 Campina Grande, PB, Brazil
[2] East China Univ Sci & Technol, Sch Math, Shanghai 200237, Peoples R China
来源：
ISRAEL JOURNAL OF MATHEMATICS | 2024年 / 259卷 / 02期
基金：
上海市自然科学基金; 中国国家自然科学基金;
关键词：
BUMP STANDING WAVES; BOUND-STATES; NONLINEARITY; EXISTENCE;
D O I：
10.1007/s11856-023-2494-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, using the variational methods, we show the existence and multiplicity of multi-peak positive solutions for the following logarithmic Schrodinger equation: - epsilon(2) Delta u + V (x)u = u logu(2), in R-N, u epsilon H-1(R-N), where c > 0, N = 2 and V : R-N -> R is a multi-well potential.
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页码：835 / 885
页数：51
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