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A remark on optimal weighted Poincaré inequalities for convex domains
2012
Rendiconti Lincei - Matematica e Applicazioni
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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.
doi:10.4171/rlm/640
fatcat:zi22gv3bebbhdndlle66edlb5i