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arXiv · 1705.04227

Improved Poincar\'e inequalities in fractional Sobolev spaces

Irene Drelichman·Ricardo G. Durán
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Abstract

We obtain improved fractional Poincar\'e and Sobolev Poincar\'e inequalities including powers of the distance to the boundary in John, $s$-John domains and H\"older-$\alpha$ domains, and discuss their optimality.

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Irene Drelichman, Ricardo G. Durán. 2017-05-11. Improved Poincar\'e inequalities in fractional Sobolev spaces. https://arxiv.org/abs/1705.04227

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