Positive solutions for a critical quasilinear Schrodinger equation

被引：0

作者：

Xue, Liang ^{[1
]}

Xu, Jiafa ^{[2
]}

O'Regan, Donal ^{[3
]}

机构：

[1] Anhui Ind Polytech Coll, Dept Basic Courses, Tongling 244000, Peoples R China

[2] Chongqing Normal Univ, Sch Math Sci, Chongqing 401331, Peoples R China

[3] Natl Univ Ireland, Sch Math Stat & Appl Math, Galway, Ireland

来源：

AIMS MATHEMATICS | 2023年 / 8卷 / 08期

关键词：

quasilinear Schrodinger equations; quasicritical growths; dual approaches; SOLITON-SOLUTIONS; EXISTENCE;

D O I：

10.3934/math.2023998

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In our current work we investigate the following critical quasilinear Schrodinger equation-?T + V(x)T - ?(T-2)T = |T|T22*-2 + ?K(x)g(T),x ? R-N,where N = 3, ? > 0, V, K ? C(R-N, R+) and g ? C(R, R) has a quasicritical growth condition. We use the dual approach and the mountain pass theorem to show that the considered problem has a positive solution when ? is a large parameter.

引用

页码：19566 / 19581

页数：16

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