Infinitely many non-radial positive solutions to the double-power nonlinear Schrodinger equations

被引：0

作者：

Guo, Qing ^{[1
]}

机构：

[1] Minzu Univ China, Coll Sci, Beijing, Peoples R China

来源：

APPLICABLE ANALYSIS | 2022年 / 101卷 / 15期

关键词：

Combined nonlinearities; infinitely many non-radial solutions; Lyapunov-Schmidt reduction; EXISTENCE;

D O I：

10.1080/00036811.2021.1889519

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the following problem with combined nonlinearities: {-Delta u + a(y)u + b(y)u(q) - u(p) = 0, u > 0, in R-N, u is an element of H-1(R-N), where 1 < p < 2* - 1, q > 1, 2* = 2N/N-2 when N >= 3; 2* = +infinity when N = 2. By use of the Lyapunov-Schmidt reduction argument, under some expansion conditions of the potentials a(y) and b(y), we establish infinitely many non-radial solutions. Especially, the nonlinearity b(y)uq is allowed to be (super-)critical, that is, q >= 2* - 1.

引用

页码：5262 / 5272

页数：11

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