Remarks on the Rellich inequality

2016/11/11 by Shuji Machihara, Tohru Ozawa, Machihara, Shuji +3
Mathematics · #26D10 #35A23 #46E35 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.CA #msc:26D10 #msc:35A23 #msc:46E35

paper · pdf · doi:10.48550/arxiv.1611.03625

This paper is to appear in Math. Z

arxiv created 2016/11/11 · arxiv updated 2016/11/14

Abstract

We study the Rellich inequalities in the framework of equalities. We present equalities which imply the Rellich inequalities by dropping remainders. This provides a simple and direct understanding of the Rellich inequalities as well as the nonexistence of nontrivial extremisers.

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