BLOW-UP SOLUTIONS FOR A KIRCHHOFF TYPE ELLIPTIC EQUATION WITH TRAPPING POTENTIAL

被引：53

作者：

Guo, Helin ^{[1
,2
]}

Zhang, Yimin ^{[3
,4
]}

Zhou, Huansong ^{[3
,4
]}

机构：

[1] Univ Chinese Acad Sci, Wuhan 430071, Hubei, Peoples R China

[2] Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Hubei, Peoples R China

[3] Wuhan Univ Technol, Ctr Math Sci, Wuhan 430070, Hubei, Peoples R China

[4] Wuhan Univ Technol, Dept Math, Wuhan 430070, Hubei, Peoples R China

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2018年 / 17卷 / 05期

关键词：

Constrained variational method; Kirchhoff equation; elliptic equation; Schwarz symmetrization; Energy estimates; CONCENTRATION BEHAVIOR; NORMALIZED SOLUTIONS; EXISTENCE; UNIQUENESS;

D O I：

10.3934/cpaa.2018089

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a Kirchhoff type elliptic equation with trapping potential. The existence and blow-up behavior of solutions with normalized L-2-norm for this equation are discussed.

引用

页码：1875 / 1897

页数：23

共 27 条

[1]

[Anonymous], ARXIV170300183

[2]

[Anonymous], 1981, ADV MATH SUPP STUD

[3]

[Anonymous], 1883, Mechanik

[4]

[Anonymous], 1997, Minimax theorems