Electron. J. Differential Equations, Vol. 2017 (2017), No. 132, pp. 1-8.

Kernel function and integral representations on Klein surfaces

Monica Rosiu

Abstract:
Some representation theorems for the solutions of the Dirichlet problem and the Neumann problem on Klein surfaces are proved by using an analogue of the harmonic kernel function on symmetric Riemann surfaces.

Submitted April 5, 2017. Published May 16, 2017.
Math Subject Classifications: 30F50, 35J25.
Key Words: Klein surface; harmonic kernel function; Green's function; Neumann'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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