Ground State for the Schrödinger Operator with the Weighted Hardy Potential

J. Chabrowski and K. Tintarev

International Journal of Differential Equations, 2011, vol. 2011, 1-26

Abstract:

We establish the existence of ground states on â„ ð ‘ 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 principal eigenfunction. This is used to examine the behaviour of the principal eigenfunction around 0.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijde:358087

DOI: 10.1155/2011/358087

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