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The optimal Euclidean Lp-Sobolev logarithmic inequality

Del Pino, Manuel; Dolbeault, Jean (2003), The optimal Euclidean Lp-Sobolev logarithmic inequality, Journal of Functional Analysis, 197, 1, p. 151-161. http://dx.doi.org/10.1016/S0022-1236(02)00070-8

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Type
Article accepté pour publication ou publié
Date
2003
Journal name
Journal of Functional Analysis
Volume
197
Number
1
Publisher
Elsevier
Pages
151-161
Publication identifier
http://dx.doi.org/10.1016/S0022-1236(02)00070-8
Metadata
Show full item record
Author(s)
Del Pino, Manuel
Dolbeault, Jean cc
Abstract (EN)
We prove an optimal logarithmic Sobolev inequality in Wl,p(Rd). Explicit minimizers are given. This result is connected with best constants of a special class of Gagliardo–Nirenberg-type inequalities.
Subjects / Keywords
Gagliardo–Nirenberg inequalities; Logarithmic Sobolev inequality; Optimal constants; Minimizers; Orlicz spaces

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