Existence of strictly positive solutions for sublinear elliptic problems in bounded domains
Let Ω be a smooth bounded domain in RN and let m be a possibly discontinuous and unbounded function that changes sign in Ω. Let f : [0,∞) → [0,∞) be a nondecreasing continuous function such that k1 ξp ≤ f (ξ) ≤ k2 ξp for all ξ ≥ 0 and some k1 ,k2 > 0 and p ∈ (0,1). We study existence and nonexistence of strictly positive solutions for nonlinear elliptic problems of the form −∆u = m (x) f (u) in Ω, u = 0 on ∂Ω.
Saved in:
| Main Authors: | , |
|---|---|
| Format: | article biblioteca |
| Language: | eng |
| Published: |
2014
|
| Subjects: | Elliptic problems, Indefinite nonlinearities, Sub and supersolutions, Positive solutions, |
| Online Access: | http://hdl.handle.net/11086/20549 https://doi.org/10.1515/ans-2014-0207 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|