Partial symmetry and asymptotic behavior for some elliptic variational problems

被引：0
作者：
Didier Smets
Michel Willem
机构：
[1] Université de Paris 6,Laboratoire Jacques
[2] Université catholique de Louvain,Louis Lions
来源：
Calculus of Variations and Partial Differential Equations | 2003年 / 18卷
关键词：
Asymptotic Behavior; Variational Problem; Type Functional; Elementary Proof; Partial Symmetry;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A short elementary proof based on polarizations yields a useful (new) rearrangement inequality for symmetrically weighted Dirichlet type functionals. It is then used to answer some symmetry related open questions in the literature. The non symmetry of the Hénon equation ground states (previously proved in [19]) as well as their asymptotic behavior are analyzed more in depth. A special attention is also paid to the minimizers of the Caffarelli-Kohn-Nirenberg [8] inequalities.
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页码：57 / 75
页数：18
相关论文
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