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arXiv · 1102.4394

Hardy-Sobolev-Maz'ya inequalities for arbitrary domains

Rupert L. Frank·Michael Loss
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Abstract

We prove a Hardy-Sobolev-Maz'ya inequality for arbitrary domains Ω\subset\R^N with a constant depending only on the dimension N\geq 3. In particular, for convex domains this settles a conjecture by Filippas, Maz'ya and Tertikas. As an application we derive Hardy-Lieb-Thirring inequalities for eigenvalues of Schrödinger operators on domains.

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Rupert L. Frank, Michael Loss. 2011-02-22. Hardy-Sobolev-Maz'ya inequalities for arbitrary domains. https://arxiv.org/abs/1102.4394

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