Article ID Journal Published Year Pages File Type
10427106 Nonlinear Analysis: Theory, Methods & Applications 2005 5 Pages PDF
Abstract
We consider the boundary value problem-u′′(x)=λf(u(x)),x∈(-1,1),u(-1)=0=u(1),where λ>0 is a parameter and f∈C2(0,∞) 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 p∈(θ,+∞). (p is the supremum of the nonnegative solution and θ is such that F(θ)=∫0θf(s)ds=0.) We discuss existence and multiplicity results for nonnegative solutions.
Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
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