Ground State for the Schrödinger Operator with the Weighted Hardy Potential
Joint Authors
Source
International Journal of Differential Equations
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-26, 26 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-09-15
Country of Publication
Egypt
No. of Pages
26
Main Subjects
Abstract EN
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 principal eigenfunction.
This is used to examine the behaviour of the principal eigenfunction around 0.
American Psychological Association (APA)
Chabrowski, J.& Tintarev, K.. 2011. Ground State for the Schrödinger Operator with the Weighted Hardy Potential. International Journal of Differential Equations،Vol. 2011, no. 2011, pp.1-26.
https://search.emarefa.net/detail/BIM-465579
Modern Language Association (MLA)
Chabrowski, J.& Tintarev, K.. Ground State for the Schrödinger Operator with the Weighted Hardy Potential. International Journal of Differential Equations No. 2011 (2011), pp.1-26.
https://search.emarefa.net/detail/BIM-465579
American Medical Association (AMA)
Chabrowski, J.& Tintarev, K.. Ground State for the Schrödinger Operator with the Weighted Hardy Potential. International Journal of Differential Equations. 2011. Vol. 2011, no. 2011, pp.1-26.
https://search.emarefa.net/detail/BIM-465579
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-465579