The mixed problem for the Laplace equation outside cuts in a plane is considered. The Dirichlet condition is posed on one side of each cut and the skew derivative condition is posed on the other side.

SIAM Journal on Applied Mathematics, Vol. 53, No. 2 (Apr., 1993), pp. 419-439 (21 pages) Steady-state systems of coupled nonlinear transport equations are considered with boundary conditions ...