Asymptotical behavior of ground state solutions for critical quasilinear Schrodinger equation

被引：2

作者：

Chen, Yongpeng ^{[1
]}

Guo, Yuxia ^{[2
]}

Tang, Zhongwei ^{[1
]}

机构：

[1] Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China

[2] Tsinghua Univ, Dept Math, Beijing 100084, Peoples R China

来源：

FRONTIERS OF MATHEMATICS IN CHINA | 2020年 / 15卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Quasilinear Schrodinger equation; critical exponent; ground state solution; asymptotical behavior; SOLITON-SOLUTIONS; POSITIVE SOLUTIONS; EXISTENCE;

D O I：

10.1007/s11464-020-0825-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is concerned with the existence and asymptotical behavior of positive ground state solutions for a class of critical quasilinear Schrodinger equation. By using a change of variables and variational argument, we prove the existence of positive ground state solution and discuss their asymptotical behavior.

引用

页码：21 / 46

页数：26

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