Title of article
The optimal Euclidean Lp-Sobolev logarithmic inequality
Author/Authors
Manuel Del Pino، نويسنده , , Jean Dolbeault، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2003
Pages
11
From page
151
To page
161
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
Keywords
Gagliardo–Nirenberg inequalities , Optimal constants , Logarithmic Sobolev inequality , Orlicz spaces , Minimizers
Journal title
Journal of Functional Analysis
Serial Year
2003
Journal title
Journal of Functional Analysis
Record number
761520
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