Ground state for the Schr\"odinger operater with the weighted Hardy potential
Analysis of PDEs
2011-04-13 v1
Abstract
We establish the existence of ground states on Euclidean space 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.
Keywords
Cite
@article{arxiv.1104.2160,
title = {Ground state for the Schr\"odinger operater with the weighted Hardy potential},
author = {Jan Chabrowski and Kyril Tintarev},
journal= {arXiv preprint arXiv:1104.2160},
year = {2011}
}