Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4592536 | Journal of Functional Analysis | 2009 | 32 Pages |
Abstract
We study the existence, nonexistence and multiplicity of positive solutions for a family of problems −Δpu=fλ(x,u), , where Ω is a bounded domain in RN, N>p, and λ>0 is a parameter. The family we consider includes the well-known nonlinearities of Ambrosetti–Brezis–Cerami type in a more general form, namely λa(x)uq+b(x)ur, where 0⩽q
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory