Article ID Journal Published Year Pages File Type
4592536 Journal of Functional Analysis 2009 32 Pages PDF
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