Electron. J. Diff. Equ., Vol. 2016 (2016), No. 111, pp. 1-8.

The Poisson equation on Klein surfaces

Monica Rosiu

We obtain a formula for the solution of the Poisson equation with Dirichlet boundary condition on a region of a Klein surface. This formula reveals the symmetric character of the solution.

Submitted January 27, 2016. Published April 28, 2016.
Math Subject Classifications: 30F50, 35J05, 35J08.
Key Words: Klein surface; Poisson equation; Green's function.

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Monica Rosiu
Department of Mathematics
University of Craiova
Street A.I. Cuza No 13
Craiova 200585, Romania
email: monica_rosiu@yahoo.com

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