Least energy sign-changing solution for a fractional p-Laplacian problem with exponential critical growth

被引：0

作者：

Cheng, Kun ^{[1
]}

Huang, Wentao ^{[2
]}

Wang, Li ^{[2
]}

机构：

[1] Jingdezhen Ceram Univ, Sch Informat Engn, Jingdezhen 333403, Peoples R China

[2] East China Jiaotong Univ, Coll Sci, Nanchang 330013, Jiangxi, Peoples R China

来源：

AIMS MATHEMATICS | 2022年 / 7卷 / 12期

基金：

中国国家自然科学基金;

关键词：

sign-changing solution; fractional p-Laplacian; exponential critical growth; QUASI-LINEAR EQUATIONS; SCHRODINGER-EQUATIONS; NODAL SOLUTIONS; MULTIPLE SOLUTIONS; POSITIVE SOLUTIONS; INEQUALITY;

D O I：

10.3934/math.20221140

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the following fractional p-Laplacian equation involving Trudinger-Moser nonlinearity: (-Delta)(N/s)(s) u + V(x) |u|(N/s-2) u = f (u) in R-N. where s is an element of (0; 1); 2 < N/s = p. The nonlinear function f has exponential critical growth, and potential V is a continuous function. By using the constrained variational methods, quantitative Deformation Lemma and Brouwer degree theory, we prove the existence of least energy sign-changing solutions.

引用

页码：20797 / 20822

页数：26

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