环上一类椭圆边值问题的三正解存在性

摘要

An existence theorem of three positive radial solu tions is given for elliptic Dirichlet boundary value problemΔu(x)+g(x)f(u(x))=0，　R1＜x＜R2,u(x)x=R1=u(x)x=R2=0,where x is in Rn,n≥2.Here R1 and R2 are constants with R2＞R1＞0.%在适当条件下证明了椭圆方 程Δu+g(x)f(u)=0，R1＜x＜R2(x∈Rn,n≥2)的Dirichlet边值 问题3个正对径解的存在性．