Bound on the number of negative eigenvalues of two-dimensional Schrödinger operators on domains
File(s)solomyak1.pdf (328.39 KB)
Accepted version
Author(s)
Frank, RL
Laptev, A
Type
Journal Article
Abstract
A fundamental result of Solomyak says that the number of negative eigenvalues of a Schrödinger operator on a two-dimensional domain is bounded from above by a constant times a certain Orlicz norm of the potential. Here it is shown that in the case of Dirichlet boundary conditions the constant in this bound can be chosen independently of the domain.
Date Issued
2019-01-01
Date Acceptance
2019-04-01
Citation
St. Petersburg Mathematical Journal, 30 (3), pp.573-589
ISSN
1547-7371
Publisher
American Mathematical Society
Start Page
573
End Page
589
Journal / Book Title
St. Petersburg Mathematical Journal
Volume
30
Issue
3
Copyright Statement
© 2019 American Mathematical Society.
Identifier
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000464555700012&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
Subjects
Science & Technology
Physical Sciences
Mathematics
Schrodinger operator
Dirichlet Laplacian
Neumann Laplacian
Trudinger inequality
DISCRETE SPECTRUM
STATES
Publication Status
Published
Date Publish Online
2019-04-12