Ground State for the Schrödinger Operator with the Weighted Hardy Potential

We establish the existence of ground states on ℝ𝑁 for the Laplace operator involving the Hardy-type potential. This gives rise to the existence of the principal eigenfunctions for the Laplace operator involving weighted Hardy potentials. We also obtain a higher integrability property for the princip...

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Bibliographic Details
Main Authors: J. Chabrowski, K. Tintarev
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:International Journal of Differential Equations
Online Access:http://dx.doi.org/10.1155/2011/358087
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