Positive solutions to BVPs for a singular differential equation Original Research Article

In this paper, we are interested in the positive solutions to a singular differential equation View the MathML sourceφ″−λ|φ′|2φ+f(t)=0,00f(t)∈C1[0,1],f(t)>0 on [0,1]. By the classical method of elliptic regularization, some existence results of the above BVPs are obtained. Moreover, the uniqueness and the asymptotic behaviors as λ→0λ→0 and as λ→∞λ→∞ will also be studied.