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For the minimal surface equation, the set of solvable boundary values need not be convex

Published online by Cambridge University Press:  17 April 2009

Frank Morgan
Frank Morgan
Affiliation:
Department of MathematicsWilliams CollegeWilliamstown MA 01267United States of America
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Abstract

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One might think that if the minimal surface equation had a solution on a smooth domain D ⊂ Rn with boundary values φ, it would have a solution with boundary values tφ for all 0 ≤ t ≤ 1. We give a counterexample in R2.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 53 , Issue 3 , June 1996 , pp. 369 - 372
Copyright
Copyright © Australian Mathematical Society 1996

References

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