THE OBLIQUE DERIVATIVE PROBLEM FOR THE LAPLACE EQUATION

The oblique derivative problem for the Laplace equation is studied on a plain domain. For a domain with Ljapunov boundary and Hölderian boundary condition a classical solution is studied. For a domain with Lipschitz boundary and L^p boundary condition a solution in the sense of the nontangential limit is studied. For a domain with bounded cyclic variation and a real measure as a boundary condition a solution in the sense of distribution is studied.