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Comparison functions for a model problem related to nonlinear elasticity

Published online by Cambridge University Press:  14 November 2011

E. W. Stredulinsky
E. W. Stredulinsky
Affiliation:
Mathematics Research Center, University of Wisconsin-Madison, Madison, Wisconsin 53705, U.S.A.
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Extract

Comparison functions are constructed for the problem of minimizing

over maps u: D(⊆ℝ2)→ℝ2 with det≥0, subject to the constraint u= f on ∂D, D the unit disk. This is accomplished for maps / which are reparameterizations of ∂D or which are “graph-like” maps. Estimates involving half derivative boundary norms are obtained.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 99 , Issue 1-2 , 1984 , pp. 89 - 114
Copyright
Copyright © Royal Society of Edinburgh 1984

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