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arXiv · 2312.11249

Hardy-Sobolev interpolation inequalities

Charlotte Dietze·Phan Thành Nam
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Abstract

We derive a family of interpolation estimates which improve Hardy's inequality and cover the Sobolev critical exponent. We also determine all optimizers among radial functions in the endpoint case and discuss open questions on nonrestricted optimizers.

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BibTeXRIS

Charlotte Dietze, Phan Thành Nam. 2023-12-18. Hardy-Sobolev interpolation inequalities. https://doi.org/10.1007/s00526-024-02800-x

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