A remark on optimal weighted Poincare inequalities for convex domains

被引：30
作者：
Ferone, V. [1 ]
Nitsch, C. [1 ]
Trombetti, C. [1 ]
机构：
[1] Univ Naples Federico II, Dipartimento Matemat & Applicaz R Caccioppoli, Complesso Monte S Angelo,Via Cintia, I-80126 Naples, Italy
来源：
RENDICONTI LINCEI-MATEMATICA E APPLICAZIONI | 2012年 / 23卷 / 04期
关键词：
Poincare inequalities; p-Laplacian eigenvalues; Wirtinger inequalities; 1ST EIGENVALUE; ISOPERIMETRIC-INEQUALITIES; EIGENFUNCTIONS;
D O I：
10.4171/RLM/640
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove a sharp upper bound on convex domains, in terms of the diameter alone, of the best constant in a class of weighted Poincare inequalities. The key point is the study of an optimal weighted Wirtinger inequality.
引用
收藏
页码：467 / 475
页数：9
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