Multiple solutions for semilinear totally characteristic elliptic equations with subcritical or critical cone Sobolev exponents

被引：29
作者：
Chen, Hua [1 ]
Liu, Xiaochun [1 ]
Wei, Yawei [2 ]
机构：
[1] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China
[2] Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2012年 / 252卷 / 07期
关键词：
Multiplicity; Cone Sobolev inequality; Totally characteristic elliptic equations; Critical cone Sobolev exponents; Conical singularity; DIFFERENTIAL-OPERATORS; MANIFOLDS; ALGEBRA;
D O I：
10.1016/j.jde.2011.12.009
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the Dirichlet problem for a class of semilinear totally characteristic elliptic equations with subcritical or critical cone Sobolev exponents and get the existence of infinitely many solutions in both case. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码：4200 / 4228
页数：29
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