Existence of positive solutions for quasi-linear differential equations
The aim of the paper is to give some sufficient conditions for the existence of at least one positive solution for a quasilinear equation of the form \[ (\varphi_p(x'))'+ c(t) f(x)= 0, \] where \(\varphi_p(u)=|u|^{p-2} u\), \(p\geq 0\) is a constant, \(c\in C(\mathbb{R}^+, \mathbb{R}^+)\), \(f(x)> 0\) for \(x\leq 0\). The approach is based on the shooting method.
scientific article; zbMATH DE number 2142382