Non-uniqueness of obstacle problem on finite Riemann surface

Rie Sasai

doi:10.2996/kmj/1143122386

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Home > Journals > Kodai Math. J. > Volume 29 > Issue 1 > Article

March 2006 Non-uniqueness of obstacle problem on finite Riemann surface

Rie Sasai

Kodai Math. J. 29(1): 51-57 (March 2006). DOI: 10.2996/kmj/1143122386

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Abstract

In [1], R. Fehlmann and F. P. Gardiner studied an extremal problem for a finite Riemann surface to establish 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.

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Rie Sasai. "Non-uniqueness of obstacle problem on finite Riemann surface." Kodai Math. J. 29 (1) 51 - 57, March 2006. https://doi.org/10.2996/kmj/1143122386