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
![[img]](https://repository.ias.ac.in/style/images/fileicons/application_pdf.png)
|
PDF
- Publisher Version
352kB |
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 |
Repository Staff Only: item control page
