Generalized Hardy-Rellich inequalities in critical dimension and its applications

Adimurthi, ; Santra, Sanjiban (2009) Generalized Hardy-Rellich inequalities in critical dimension and its applications Communications in Contemporary Mathematics, 11 (3). pp. 367-394. ISSN 0219-1997

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Official URL: http://www.worldscinet.com/ccm/11/1103/S0219199709...

Related URL: http://dx.doi.org/10.1142/S0219199709003405

Abstract

In this paper, we study the Hardy-Rellich inequalities for polyharmonic operators in the critical dimension and an analogue in the p-biharmonic case. We also develop some optimal weighted Hardy-Sobolev inequalities in the general case and discuss the related eigenvalue problem. We also prove W2,q(Ω) estimates in the biharmonic case.

Item Type:Article
Source:Copyright of this article belongs to World Scientific Publishing Company.
Keywords:Hardy Inequalities; Biharmonic Operator; W2,q(Ω) Estimates
ID Code:11871
Deposited On:11 Nov 2010 04:56
Last Modified:16 May 2016 21:16

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