Infinitely many spike solutions for the Henon equation with critical growth

被引：7
作者：
Hao, Jianghao [1 ]
Chen, Xinfu [2 ]
Zhang, Yajing [1 ]
机构：
[1] Shanxi Univ, Sch Math Sci, Taiyuan 030006, Peoples R China
[2] Univ Pittsburgh, Dept Math, Pittsburgh, PA 15260 USA
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2015年 / 259卷 / 09期
基金：
美国国家科学基金会;
关键词：
Henon equation; Critical Sobolev exponents; Multi-peak; Spike; GROUND-STATE SOLUTIONS; ASYMPTOTIC-BEHAVIOR; SOBOLEV INEQUALITY; PEAK SOLUTIONS; PROFILE;
D O I：
10.1016/j.jde.2015.06.015
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Following the constructive method of Wei and Yan [22], with new ingredients to take care of n = 3, we prove the existence of infinitely many solutions of the Henon equation -Delta u = vertical bar x vertical bar(alpha)u(n+2/n-2) in the unit ball of R-n (n >= 3, alpha > 0) with the Dirichlet boundary condition. (C) 2015 Elsevier Inc. All rights reserved.
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页码：4924 / 4946
页数：23
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