Existence results for superlinear semipositone BVP’s

Existence of Positive Solutions for Semipositone Higher-Order BVPS on Time Scales

We offer conditions on semipositone function f t, u0, u1, . . . , un−2 such that the boundary value problem, uΔ n t f t, u σn−1 t , uΔ σn−2 t , . . . , uΔ n−2 σ t 0, t ∈ 0, 1 ∩ T, n ≥ 2, uΔi 0 0, i 0, 1, . . . , n − 3, αuΔ 0 − βuΔ 0 0, γuΔ σ 1 δuΔ σ 1 0, has at least one positive solution, where T is a time scale and f t, u0, u1, . . . , un−2 ∈ C 0, 1 × R 0,∞ n−1,R −∞,∞ is continuous with f t, ...

Existence of positive solution for fourth order superlinear singular semipositone differential system

By transforming the boundary value problem into the corresponding fixed-point problem of a completely continuous operator, the existence is obtained in the paper for two-point boundary value problem of fourth order superlinear singular semipositone differential system via the fixed point theorem concerning cone compression and expansion in norm type.

Existence and Nonexistence Results for Quasilinear Semipositone Dirichlet Problems

We use the sub/supersolution method to analyze a semipositone Dirichlet problem for the p-Laplacian. To find a positive solution, we therefore focus on a related problem that produces positive subsolutions. We establish a new nonexistence result for this subsolution problem on general domains, discuss the existence of positive radial subsolutions on balls, and then apply our results to problems...

On a Variational Approach to Existence and Multiplicity Results for Semipositone Problems

In this paper we present a novel variational approach to the question of existence and multiplicity of positive solutions to semipositone problems in a bounded smooth domain of RN . We consider both the sublinear and superlinear cases.

Existence Results for a Nonlinear Semipositone Telegraph System with Repulsive Weak Singular Forces