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Licensed Unlicensed Requires Authentication Published by De Gruyter January 20, 2011

Discontinuous solutions to the two-valued minimal surface equation

  • Leobardo Rosales EMAIL logo

Abstract

Recently, the author gave an asymptotic geometric description near the origin of any solution to the Two-Valued Minimal Surface Equation defined over the punctured unit disk 𝒟\{0} in , determined by whether the solution can be extended continuously across the origin. Here, we study discontinuous solutions, in particular giving conditions on the boundary data ensuring the solution is of this type.

Received: 2010-01-26
Revised: 2010-11-05
Published Online: 2011-01-20
Published in Print: 2011-September

© de Gruyter 2011

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