Existence and Asymptotic Behavior of Ground State Solutions for Quasilinear Schrodinger Equations with Unbounded Potential

被引：0
|
作者：
Xue, Yanfang [1 ]
Zhong, Xiaojing [2 ]
Tang, Chunlei [3 ]
机构：
[1] Xinyang Normal Univ, Sch Math & Stat, Xinyang 464000, Henan, Peoples R China
[2] Southwest Univ, Sch Hist Culture & Ethnol, Chongqing 400715, Peoples R China
[3] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China
来源：
CHINESE ANNALS OF MATHEMATICS SERIES B | 2023年 / 44卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Quasilinear Schrodinger equation; Ground state; Critical Hardy-Sobolev exponents; Coercive; SOLITON-SOLUTIONS; ELLIPTIC-EQUATIONS; POSITIVE SOLUTIONS; CRITICAL SOBOLEV;
D O I：
10.1007/s11401-023-0019-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The authors study the existence of standing wave solutions for the quasilinear Schrodinger equation with the critical exponent and singular coefficients. By applying the mountain pass theorem and the concentration compactness principle, they get a ground state solution. Moreover, the asymptotic behavior of the ground state solution is also obtained.
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页码：345 / 360
页数：16
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