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Comparison functions for a model problem related to nonlinear elasticity
Published online by Cambridge University Press: 14 November 2011
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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