径向正解拐点的存在唯一性问题

Uniqueness of Inflection Points for Radial Positive Solutions

设Ω是Rn中的环型区域,n>m>1.m-Laplace方程的边值问题是Δmu+f(u)=0,x∈Ω,u|Ω=0,讨论其径向正解的拐点,给出了一个拐点的存在唯一性结论.

Let Ω is an annular domain in R^n, n 〉 m 〉 1. The paper concerns the boundary value problems of m- Laplace equations △mu＋f（u）=0,x∈Ω,u｜δΩ=0 and considers the inflection points for radial positive solutions and a result of uniqueness of inflection points is given.