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Dietze, Charlotte ORCID logoORCID: https://orcid.org/0000-0002-7111-1467 und Nam, Phan Thành (2024): Hardy–Sobolev interpolation inequalities. In: Calculus of Variations and Partial Differential Equations, Vol. 63, 184 [PDF, 337kB]

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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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