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
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
Journal title :
Journal of Functional Analysis
