A remark on optimal weighted Poincaré inequalities for convex domains (Q1932680)
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| Language | Label | Description | Also known as |
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| English | A remark on optimal weighted Poincaré inequalities for convex domains |
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A remark on optimal weighted Poincaré inequalities for convex domains (English)
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21 January 2013
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Summary: 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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Poincaré inequalities
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\(p\)-Laplacian eigenvalues
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Wirtinger inequalities
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