椭圆算子的微分包含问题

Differential inclusion problem of elliptic operator

讨论了一类椭圆算子的微分包含:Lu∈F(x,u),当集值函数F(x,u)满足一定条件下,运用Schauder不动点定理,证明了在右端项F(x,u)是非凸值情况下解的存在性定理.

It reseaches the differential inclusion problem of of elliptic operator：Lu∈F（x,u）.When the multifuction F（x,u） satisfies some conditions,it proves the existence theorem of boundary value solutions for nonconvex cases of the righthand side F（x,u） by using Schauder fixed point theorem.