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arXiv · 2102.08309

Finsler-Rellich inequalities involving the distance to the boundary

Gerassimos Barbatis·Miltiadis Paschalis
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Abstract

We study Rellich inequalities associated to higher-order elliptic operators in the Euclidean space. The inequalities are expressed in terms of an associated Finsler metric. In the case of half-spaces we obtain the sharp constant while for a general convex domain we obtain estimates that are better than those obtained by comparison with the polyharmonic operator.

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Gerassimos Barbatis, Miltiadis Paschalis. 2021-02-16. Finsler-Rellich inequalities involving the distance to the boundary. https://arxiv.org/abs/2102.08309

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