On principal eigenvalues for boundary value problems with indefinite weight and Robin boundary conditions

Authors
Afrouzi, GA Brown, KJ
Citation
Ga. Afrouzi et Kj. Brown, On principal eigenvalues for boundary value problems with indefinite weight and Robin boundary conditions, P AM MATH S, 127(1), 1999, pp. 125-130
Citations number
5
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029939 → ACNP
Volume
127
Issue
1
Year of publication
1999
Pages
125 - 130
Database
ISI
SICI code
0002-9939(199901)127:1<125:OPEFBV>2.0.ZU;2-V
Abstract
We investigate the existence of principal eigenvalues (i.e., eigenvalues co rresponding to positive eigenfunctions) for the boundary value problem -Del ta u(x) = lambda g(x)u(x) on D; partial derivative u/partial derivative u(x ) + alpha u(x) = 0 on partial derivative D, where D is a bounded region in R-N, g is an indefinite weight function and alpha is an element of R may be positive, negative or zero.