Asymptotic Behavior of Ground State Radial Solutions for p-Laplacian Problems

Abstract EN

Let p>1, we take up the existence, the uniqueness and the asymptotic behavior of a positive continuous solution to the following nonlinear problem in (0,+∞), (1/A)(Aϕp(u′))′+q(x)uα=0, limx→0Aϕp(u′)(x)=0, limx→+∞u(x)=0, where α0 satisfying for each x in (0,+∞), 1/c≤q(x)(1+x)βexp(−∫1x+1(z(s)/s)ds)≤c, β≥p and z∈C([1,+∞)) such that limt→+∞z(t)=0.