Rie SASAI

On uniqueness of obstacle problem on finite Riemann surface

Abstract

R. Fehlmann and F. P. Gardiner studied an extremal problem for a topologically finite Riemann surface and established a slit mapping theorem. In this article, we give a condition for non-uniqueness of such slit mappings, by using a deformation of a Riemann surface.


submission: 24 February 2004

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