Ground state solutions for a quasilinear elliptic equation with general critical nonlinearity

被引：4

作者：

Shang, Tingting ^{[1
]}

Liang, Ruixi ^{[1
]}

机构：

[1] Cent South Univ, Sch Math & Stat, Changsha, Hunan, Peoples R China

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2021年 / 66卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Quasilinear elliptic equation; critical growth; ground state solution; CONCENTRATION-COMPACTNESS PRINCIPLE; SCHRODINGER-EQUATIONS; SOLITON-SOLUTIONS; POSITIVE SOLUTIONS; EXISTENCE; MANIFOLD; WAVES;

D O I：

10.1080/17476933.2020.1731736

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we study the quasilinear elliptic equation: - u + V(x)u - [(1 + u2)1/2] u 2(1 + u2)1/2 = h(u), x. RN, where N = 3, V : RN. R satisfies suitable assumptions. Unlike h. C1(R, R), weonly need to assume that h. C(R, R). By using a change of variable, we obtain the existence of ground state solutions with general critical growth.

引用

页码：586 / 613

页数：28

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