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.
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页码：586 / 613
页数：28
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