ON PRINCIPAL EIGENVALUES FOR INDEFINITE PROBLEMS IN EUCLIDEAN-SPACE

Authors
ROZENBLUM G SOLOMYAK M
Citation
G. Rozenblum et M. Solomyak, ON PRINCIPAL EIGENVALUES FOR INDEFINITE PROBLEMS IN EUCLIDEAN-SPACE, Mathematische Nachrichten, 192, 1998, pp. 205-223
Citations number
14
Categorie Soggetti
Mathematics,Mathematics
Journal title
Mathematische Nachrichten → ACNP
ISSN journal
0025584X
Volume
192
Year of publication
1998
Pages
205 - 223
Database
ISI
SICI code
0025-584X(1998)192:<205:OPEFIP>2.0.ZU;2-B
Abstract
For the eigenvalue problem -lambda Delta u = q(x)u in IRd, with the we ight function q changing sign, conditions are discussed for existence of eigenvalues with positive decaying eigenfunctions.