EXISTENCE AND MULTIPLICITY RESULTS FOR A NON-HOMOGENEOUS FOURTH ORDER EQUATION

被引：0
|
作者：
Maalaoui, Ali [1 ]
Martino, Vittorio [1 ]
机构：
[1] Rutgers State Univ, Dept Math, Hill Ctr Math Sci, Piscataway, NJ 08854 USA
来源：
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2012年 / 40卷 / 02期
关键词：
Critical exponent; Paneitz-Branson operator; BLOWING-UP SOLUTIONS; BIHARMONIC EQUATION; ELLIPTIC-EQUATIONS; CRITICAL-POINTS; INVARIANT; DOMAINS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we investigate the problem of existence and multiplicity of solutions for a non-homogeneous fourth order Yamabe type equation. We exhibit a family of solutions concentrating at two points, provided the domain contains one hole and we give a multiplicity result if the domain has multiple holes. Also we prove a multiplicity result for vanishing positive solutions in a general domain.
引用
收藏
页码：273 / 300
页数：28
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