The existence of principal eigenvalues for problems with indefinite weight function on ℝk
- 1 January 1993
- journal article
- research article
- Published by Cambridge University Press (CUP) in Proceedings of the Royal Society of Edinburgh: Section A Mathematics
- Vol. 123 (3) , 561-569
- https://doi.org/10.1017/s0308210500025889
Abstract
We investigate the existence of positive principal eigenvalues of the problem - ∆u(x) = λg(x)u(x) for x ∈ ℝk where the weight function g changes sign in ℝk and is negative for |x| sufficiently large.Keywords
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