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.
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APA
Ferone, V., Nitsch, C., & Trombetti, C. (2012). A remark on optimal weighted Poincaré inequalities for convex domains. Atti Della Accademia Nazionale Dei Lincei, Classe Di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica e Applicazioni, 23(4), 467–475. https://doi.org/10.4171/RLM/640
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