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Elsevier, Journal of Functional Analysis, 1(197), p. 151-161, 2003

DOI: 10.1016/s0022-1236(02)00070-8

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The optimal Euclidean Lp-Sobolev logarithmic inequality

Journal article published in 2003 by Manuel Del Pino, Jean Dolbeault ORCID
This paper is made freely available by the publisher.
This paper is made freely available by the publisher.

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Abstract

We prove an optimal logarithmic Sobolev inequality in W1,p(Rd). Explicit minimizers are given. This result is connected with best constants of a special class of Gagliardo–Nirenberg-type inequalities.