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.

引用

页数：20

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