A Dirichlet problem is the problem of finding a function which solves a specified P.D.E. in the interior of a given region that takes prescribed values on the boundary of the region.
In this talk, I will introduce the solvability of the 
Dirichlet Problem in particular case ; 
Equation is second order elliptic P.D.E, and the 
solution space is 𝑊_2^1.