Adimurthi, ; Esteban, Maria J. (2005) An improved Hardy-Sobolev inequality in W1,p and its application to Schrodinger operators Nonlinear Differential Equations and Applications, 12 (2). pp. 243-263. ISSN 1021-9722
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Official URL: http://www.springerlink.com/content/x28w3p12187r7x...
Related URL: http://dx.doi.org/10.1007/s00030-005-0009-4
Abstract
In this paper we prove new Hardy-like inequalities with optimal potential singularities for functions in W1,p(Ω), where Ω is either bounded or the whole space Rn and also some extensions to arbitrary Riemannian manifolds. We also study the spectrum of perturbed Schrodinger operators for perturbations which are just below the optimality threshold for the corresponding Hardy inequality.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Birkhauser-Verlag. |
| Keywords: | Hardy Inequality; Perturbed Schrodinger Operators; Eigenvalues |
| ID Code: | 12096 |
| Deposited On: | 10 Nov 2010 04:40 |
| Last Modified: | 10 May 2011 04:14 |
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