On a Schrodinger equation involving fractional (N/s1, q)-Laplacian with critical growth and Trudinger-Moser nonlinearity

被引：1
|
作者：
Lv, Huilin [1 ]
Zheng, Shenzhou [1 ]
机构：
[1] Beijing Jiaotong Univ, Dept Math, Beijing 100044, Peoples R China
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2024年 / 139卷
关键词：
Nonlinear Schrodinger equation; Fractional; (p; q)-Laplacian; Ground-state solutions; Critical Sobolev growth; Trudinger-Moser inequality; MULTIPLICITY; INEQUALITIES; SPACES;
D O I：
10.1016/j.cnsns.2024.108284
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A nonlinear Schrodinger equation of fractional (N/s(1), q)-Laplacian is considered with the Rabinowitz potential, critical Sobolev growth and Trudinger-Moser nonlinearity in R-N (-Delta)(N/s1)(s1) u + (-Delta)(q)(s2) u + V(epsilon x)(vertical bar u vertical bar(Ns1-2) u + vertical bar u vertical bar(q-2) u) = lambda f (u) + vertical bar u vertical bar(qs2)*(-2) u. We establish the global existence of nonnegative ground-state solution for suitable parameter values primarily through variational analysis, fractional Trudinger-Moser inequality and mountain pass approach. It is a crucial ingredient to handle three aspects concerning the limiting setting s(1)p = N, the critical Sobolev growth and Trudinger-Moser nonlinearity.
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页数：20
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