The skew derivative problem for the Laplace equation in the exterior of open curves in the plane is reduced to the Fredholm integral equation of the second kind, which is uniquely solvable.
Cite this article
P.A. Krutitskii, The Skew Derivative Problem in the Exterior of Open Curves in a Plane. Z. Anal. Anwend. 16 (1997), no. 3, pp. 739–747DOI 10.4171/ZAA/788