Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10427106 | Nonlinear Analysis: Theory, Methods & Applications | 2005 | 5 Pages |
Abstract
We consider the boundary value problem-uâ²â²(x)=λf(u(x)),xâ(-1,1),u(-1)=0=u(1),where λ>0 is a parameter and fâC2(0,â) is monotonically increasing and concave up such that f(0)<0 (i.e. is the semipositone). In this paper we study the case p=θ and pâ(θ,+â). (p is the supremum of the nonnegative solution and θ is such that F(θ)=â«0θf(s)ds=0.) We discuss existence and multiplicity results for nonnegative solutions.
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Authors
G.A. Afrouzi, M. Khaleghy Moghaddam,