The Robin problem for the Laplace equation is investigated on a very general class of domains including domains with a piecewise-smooth boundary. The necessary and sufficient condition for the existence of a solution of this problem and the explicite form of a particular solution are given.
The Robin problem for the Laplace equation is investigated on a very general class of domains including domains with a piecewise-smooth boundary. The necessary and sufficient condition for the existence of a solution of this problem and the explicite form of a particular solution are given. (en)