## Dirichlet Problem-Partial Differential Equations

Let $K = \{ (x,y) | -1 . Find the unique soloution of dirichlet problem:

$\Delta u(x,y) =0$ , $(x,y) \in K$ ,
$u(x,y) = |x+y|$ , $(x,y) \in \partial K$ .
We need to guess a soloution and not use seperation of variables!
Hope you'll be able to help me!
Thanks !