Optimal Rellich-Sobolev constants and their extremals

2013/07/28 by Roberta Musina, Musina, Roberta
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP

paper · pdf · doi:10.48550/arxiv.1307.7394

To appear in Differential and Integral Equations

arxiv created 2014/01/25 · arxiv updated 2014/01/28

Abstract

We prove that extremals for second order Rellich-Sobolev inequalities have constant sign. Then we show that the optimal constants in Rellich-Sobolev inequalities on a bounded domain Ω and under Navier boundary conditions do not depend on Ω

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