Compactness results and applications to some "zero mass" elliptic problems

被引：21
作者：
Azzollini, A. [2 ]
Pomponio, A. [1 ]
机构：
[1] Politecn Bari, Dipartimento Matemat, I-70126 Bari, Italy
[2] Univ Bari, Dipartimento Matemat, I-70125 Bari, Italy
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2008年 / 69卷 / 10期
关键词：
D O I：
10.1016/j.na.2007.09.041
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Compactness results and applications to some 'zero mass' elliptic problems are presented, which have been studied very intensely. Recently, Benci and Fortunato have introduced a new functional setting, namely the Orlicz space L p + Lq, which arises very simply from the growth conditions on f and seems to be the natural framework for studying 'zero mass' problems as shown also by Pisani. Using this new functional setting, Benci and Micheletti studied the problem, with the Dirichlet boundary conditions, in the case of exterior domain, namely when &rdbl;N \ω is contained into a ball Bε.
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收藏
页码：3559 / 3576
页数：18
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