Existence of solutions for some implicit partial differential equations and applications to variational integrals involving quasi-affine functions
Published online by Cambridge University Press: 12 July 2007
Abstract
We discuss some existence theorems for partial differential inclusions, subject to Dirichlet boundary conditions, of the form where Φ is a quasi-affine function and so, in particular, for Φ(Du) = det Du.
We then apply it to minimization problems of the form
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 134 , Issue 5 , October 2004 , pp. 907 - 921
- Copyright
- Copyright © Royal Society of Edinburgh 2004
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