Existence and Concentration Behavior of Solutions of the Critical Schrodinger-Poisson Equation in R3

被引：0
|
作者：
Wang, Jichao [1 ]
Yu, Ting [1 ]
机构：
[1] China Univ Petr, Coll Sci, Qingdao 266580, Peoples R China
来源：
MATHEMATICS | 2021年 / 9卷 / 05期
关键词：
Schrodinger-Poisson equation; critical growth; variational method; POSITIVE BOUND-STATES; KLEIN-GORDON-MAXWELL; SEMICLASSICAL STATES; ELLIPTIC PROBLEMS; SYSTEM; SPHERES; WAVES;
D O I：
10.3390/math9050464
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the singularly perturbed problem for the Schrodinger-Poisson equation with critical growth. When the perturbed coefficient is small, we establish the relationship between the number of solutions and the profiles of the coefficients. Furthermore, without any restriction on the perturbed coefficient, we obtain a different concentration phenomenon. Besides, we obtain an existence result.
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页码：1 / 24
页数：24
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