Ground state solutions of nonlinear Schrodinger equations involving the fractional p-Laplacian and potential wells

被引：1

作者：

Chen, Yongpeng ^{[2
]}

Niu, Miaomiao ^{[1
]}

机构：

[1] Beijing Univ Technol, Fac Sci, Coll Math, Beijing 100124, Peoples R China

[2] Guangxi Univ Sci & Technol, Sch Sci, Liuzhou 545006, Peoples R China

来源：

OPEN MATHEMATICS | 2022年 / 20卷 / 01期

基金：

中国国家自然科学基金; 北京市自然科学基金;

关键词：

nonlinear Schrodinger equation; ground state solution; fractional p-Laplacian; variational methods; LEAST ENERGY SOLUTIONS; POSITIVE SOLUTIONS; EXISTENCE; DECAY; MULTIPLICITY; COMPACTNESS; WAVES;

D O I：

10.1515/math-2022-0006

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The purpose of this paper is to investigate the ground state solutions for the following nonlinear Schrodinger equations involving the fractional p-Laplacian (-Delta)(rho)(s) u (x) + lambda V(x)u(x)(p-1) = u(x)(q-1,) u(x)>= 0, x is an element of R-N, where lambda >. 0 is a parameter, 1 < p < q Np/N-sp, N >= 2, and V(x) is a real continuous function on R-N. For lambda large enough, the existence of ground state solutions are obtained, and they localize near the potential well int (V-1 (0)).

引用

页码：50 / 62

页数：13

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