EXISTENCE AND CONCENTRATION BEHAVIOR OF GROUND STATE SOLUTIONS FOR A CLASS OF GENERALIZED QUASILINEAR SCHR(O)DINGER EQUATIONS IN RN

• 作者: Bitao CHENG Jianhua CHEN Xianhua TANG Xianjiu HUANG
• 来源期刊: 数学物理学报（英文版）
• 年，卷（期）: 2020,（5）
• 页码范围: 1495-1524
• 页数: 30页
• 语种: 英文

摘要

In this article,we study the generalized quasilinear Schr(o)dinger equation -div(ε2g2(u)▽u) + ε2g(u)g'(u)|▽u|2 + V(x)u =K(x)|u|p-2u,x ∈ RN,where N ≥ 3,ε ＞ 0,4 ＜ p ＜ 22*,g ∈ C1(R,R+),V ∈ C(RN) ∩L∞(RN) has a positive global minimum,and K ∈ C(RN) ∩ L∞(RN) has a positive global maximum.By using a change of variable,we obtain the existence and concentration behavior of ground state solutions for this problem and establish a phenomenon of exponential decay.

作者信息

序号	姓名	单位	发文数	被引次数	H指数	G指数
1	Jianhua CHEN		1	0	0.0	0.0
2	Xianjiu HUANG		1	0	0.0	0.0
3	Bitao CHENG		1	0	0.0	0.0
4	Xianhua TANG		1	0	0.0	0.0