On an eigenvalue problem involving the Hardy potential

Chabrowski, J., Peral, I. and Ruf, B. (2010) On an eigenvalue problem involving the Hardy potential. Communications in Contemporary Mathematics, 12 6: 953-975. doi:10.1142/S0219199710004044

Author Chabrowski, J.
Peral, I.
Ruf, B.
Title On an eigenvalue problem involving the Hardy potential
Journal name Communications in Contemporary Mathematics   Check publisher's open access policy
ISSN 0219-1997
Publication date 2010-12
Sub-type Article (original research)
DOI 10.1142/S0219199710004044
Volume 12
Issue 6
Start page 953
End page 975
Total pages 23
Place of publication Singapore
Publisher World Scientific Publishing Co.
Collection year 2011
Language eng
Abstract In this note we consider the eigenvalue problem for the Laplacian with the Neumann and Robin boundary conditions involving the Hardy potential. We prove the existence of eigenfunctions of the second eigenvalue for the Neumann problem and of the principal eigenvalue for the Robin problem in "high" dimensions. © 2010 World Scientific Publishing Company.
Keyword Poincaré inequality
Hardy potential
Eigenvalue problems
Kohn-nirenberg inequalities
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
Official 2011 Collection
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Created: Sun, 20 Feb 2011, 00:05:29 EST