Positive Radial Solutions of Nonlinear Elliptic Equations in Exterior Domains of Ball

Abstract:

      This paper discusses the existence of positive radial solutions for nonlinear elliptic boundary value problem in exterior domain Ω= {x ∈ R^N|||x||> R}:-Δ u=g(|x|)f(u),αu+β(?u)/(?n)|_?Ω=0,u(∞)=0 where g(r) and f(u) are nonnegative continuous functions. The existence of positive radial solution is obtained under the conditions that 0 <∫_R^∞rg(r)dr≤∞ and f(u) is either superlinear or sublinear.