Existence and non-existence of radially symmetric non-negative solutions for a class of semi-positone problems in an annulus
We study the boundary value problem −∆u(x) = λf(u(x)), R< |x| < Rˆ u(x)=0, |x| ∈ {R, Rˆ} where λ > 0, f(0) < 0 and f is superlinear. We prove existence of a radially symmetric non-negative solution for λ > 0 sufficiently small and nonexistence of such a solution for λ > 0 larg...
Prif Awduron: | , |
---|---|
Fformat: | Erthygl |
Iaith: | English |
Cyhoeddwyd: |
Sapienza Università Editrice
1994-03-01
|
Cyfres: | Rendiconti di Matematica e delle Sue Applicazioni |
Pynciau: | |
Mynediad Ar-lein: | https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/1994(4)/625-646.pdf |