Uniqueness of Very Weak Solutions to a Quasilinear Elliptic Equation of Second Order
Xie Su-ying · Mathematica Applicata · 2012
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.