本文讨论了一个二阶拟线性椭圆型方程的很弱解u∈Wl1o,cr(Ω)的唯一性,边界条件为很弱边值,即在Ω/E上取零边界值,而E是一个满足capt(E)=0的闭集.文中应用了Hodge分解的方法构造检验函数.
In this paper,we study the uniquenss of very weak solution u∈W1,rloc(Ω) to a quasilinear elliptic equation of second order.The method of Hodge decomposition is applied to construct a proper test function,the boundary conditions is very weak boundary value,that is,these take zero boundary values on Ω/E,where E is a closed set with capt(E)=0.