一类二阶非线性方程奇异边值问题

Singular Boundary Value Problem for a Class of Uecond-order Nonlinear Equations

本文证明了方程div（|Du|p-2Du）+f(r.u（r），u'(r))=0（R1＜r＜R0）正对称解的存在性．这里f允许在u=0或。u’=0处奇异．

In this paper i we establish the existence of positive radially symmetric solutions of div (|Du| p-2Du) + f(r,u,u' (r)) = 0 in thn domain R1<r <R0eThe function f is allowed to be singular when u = 0 or u''=0 Our analysis is Based on Leray-Schauder degree theory.