Existence Result for a Class of Nonlinear Elliptic Systems on Punctured Unbounded Domains
被引:1
作者:
Colin, Fabrice
论文数: 0引用数: 0
h-index: 0
机构:
Laurentian Univ, Sudbury, ON P3E 2C6, CanadaLaurentian Univ, Sudbury, ON P3E 2C6, Canada
Colin, Fabrice
[1
]
机构:
[1] Laurentian Univ, Sudbury, ON P3E 2C6, Canada
来源:
BOUNDARY VALUE PROBLEMS
|
2010年
基金:
加拿大自然科学与工程研究理事会;
关键词:
CRITICAL GROWTH;
EQUATIONS;
D O I:
10.1155/2010/175409
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
We establish the existence of a nontrivial solution for systems with an arbitrary number of coupled Poisson equations with critical growth in punctured unbounded domains. The proof depends on a generalized linking theorem due to Krysewski and Szulkin, and on a concentration-compactness argument, proved by Frigon and the author. Applications to reaction-diffusion systems with skew gradient structure are also discussed in the last section.
机构:
Univ Pisa, Dept Math, Largo B Pontecorvo 5, I-56100 Pisa, ItalyUniv Pisa, Dept Math, Largo B Pontecorvo 5, I-56100 Pisa, Italy
Barbera, Daniele
Georgiev, Vladimir
论文数: 0引用数: 0
h-index: 0
机构:
Univ Pisa, Dept Math, Largo B Pontecorvo 5, I-56100 Pisa, Italy
Waseda Univ, Fac Sci & Engn, 3-4-1 Okubo,Shinjuku Ku, Tokyo 1698555, Japan
Bulgarian Acad Sci, Inst Math & Informat, Acad Georgi Bonchev Str,Block 8, Sofia 1113, BulgariaUniv Pisa, Dept Math, Largo B Pontecorvo 5, I-56100 Pisa, Italy
机构:
Univ Pisa, Dept Math, Largo B Pontecorvo 5, I-56100 Pisa, ItalyUniv Pisa, Dept Math, Largo B Pontecorvo 5, I-56100 Pisa, Italy
Barbera, Daniele
Georgiev, Vladimir
论文数: 0引用数: 0
h-index: 0
机构:
Univ Pisa, Dept Math, Largo B Pontecorvo 5, I-56100 Pisa, Italy
Waseda Univ, Fac Sci & Engn, 3-4-1 Okubo,Shinjuku Ku, Tokyo 1698555, Japan
Bulgarian Acad Sci, Inst Math & Informat, Acad Georgi Bonchev Str,Block 8, Sofia 1113, BulgariaUniv Pisa, Dept Math, Largo B Pontecorvo 5, I-56100 Pisa, Italy