环上一类椭圆边值问题的三正解存在性

Existence of three positive radial solutions in annular domain for elliptic boundary value problems

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

An existence theorem of three positive radial solutions is given for elliptic Dirichlet boundary value problem Δ u(x)+g(x)f(u(x))=0, R 1<x<R 2, u(x) x=R 1 =u(x) x=R 2 =0,where x is in R n,n ≥2.Here R 1 and R 2 are constants with R 2>R 1>0.