Existence of Positive Solutions for Boundary Value Problems of One-Dimensional p-Laplace Equation with Singular Terms
In this paper,by using time-map method,we show the existence and uniqueness of the positive solutions of the one-dimensional p-Laplacian singular boundary value problem(|u'(t)|p-2u'(t))'+λg(u)/uβ=0,0＜t＜1,u(0)=0,u(1)=μ,where p＞1,λ＞0,μ ≥ 0,β ∈[0,1)and g ∈ C1([0,∞)).Finally,we discuss the feasibility of our results by the examples when g(0)＞0 and g(0)＜0.
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