Existence of concave positive solutions for fractional Sturm-Liouville boundary value problems with p-Laplacian

摘要

In this paper, by using fixed point theory, we investigate existence and multiplicity of concave positive solutions for the following Sturm-Liouville boundary value problems with p-Laplacian operator {D0+α(Φp(D0ρ+v(t))) + g(t, v(t), D0+γv(t)) = 0 av(0)-bv'(0) = 0, cv(1) + dv'(1) = 0, v"(0) = 0, D0+ρ+v(t)|t=0 = 0, where Φp(s) = |s|p-2 s, > 1. As an application, an example is given to demonstrate the main result.