The oblique derivative problem for the Laplace equation in a plain domain (Q1423750)

Let \(u\) satisfy the Laplace equation in a multiply connected domain \(G\) which has bounded cyclic variation. Let \(g\) be a real measure on \(\partial G\). The author studies existence and uniqueness of the boundary value problem \(\partial u/ \partial n + \beta \partial u/ \partial \tau\) on \(G\) using the single layer and angular potentials. Here, \(n\) is a normal to \(\partial G\) vector, \(\tau\) is a tangent vector.