一类环形区域上的椭圆问题

A Class of Elliptic Problems in Annular Domains

文章讨论一类环形区域上的Laplace边值问题-Δu=f(u),x∈B1\Bε;u=0,x∈B1;u/n=0,x∈Bε利用Leggett-Williams三解定理获得至少三个非负径向解的存在性.

We deal with a class of Laplacian boundary problems-△u = f（u）,x∈ B1 ／Bt ;u =0,x∈B;u/n=0,x∈ Bt in annular domains. By means of the Leggett-Williams three solu On tions theorem we obtain the existence of at least three non-negative radial solutions.