Nontrivial solutions for nonlinear Schrodinger-Choquard equations with critical exponents

被引：7

作者：

Luo, Huxiao ^{[1
]}

机构：

[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2020年 / 107卷

基金：

中国国家自然科学基金;

关键词：

Variational methods; Nonlinear Schrodinger-Choquard equations; Lower and upper critical exponents; Hardy-Littlewood-Sobolev inequality; EXISTENCE;

D O I：

10.1016/j.aml.2020.106422

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the nonlinear Schrodinger-Choquard equation -Delta u + u = (I-alpha*vertical bar u vertical bar(P)) vertical bar u vertical bar(p-2)u + vertical bar u vertical bar(q-2)u, x epsilon R-N, where N epsilon N, 0 < alpha < N, I-alpha denotes Riesz potential. When p = N+alpha/N or p = N+alpha/N-2, we get nontrivial solutions under some restrictions on N, q and alpha respectively. N+alpha/N and N+alpha/N-2 are lower and upper critical exponents in the sense of the Hardy-Littlewood-Sobolev inequality. This article extends some results of related literatures. (C) 2020 Elsevier Ltd. All rights reserved.

引用

页数：7

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