A remark on optimal weighted Poincaré inequalities for convex domains

2012/07/03 by Vincenzo Ferone, Carlo Nitsch, Ferone, Vincenzo +3
Mathematics · #26D10 #35J92 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Optimization and Control (math.OC) #math.CA #math.OC #msc:26D10 #msc:35J92

paper · pdf · doi:10.48550/arxiv.1207.0680

Few typos have been corrected. 10 pages. No figures. arXiv admin note: substantial text overlap with arXiv:1110.2960

arxiv created 2012/11/06 · arxiv updated 2012/11/07

Abstract

We prove a sharp upper bound on convex domains, in terms of the diameter alone, of the best constant in a class of weighted Poincaré inequalities. The key point is the study of an optimal weighted Wirtinger inequality.

Citations

• Best constants in Poincaré inequalities for convex domains

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