The nonlinear membrane model: Variational derivation under the constraint "det$\nabla u\not=0$"
Classical Analysis and ODEs
2007-05-23 v2
Abstract
Acerbi, Buttazzo and Percivale gave a variational definition of the nonlinear string energy under the constraint "det" (see [1]). In the same spirit, we obtain the nonlinear membrane energy under the simpler constraint "det".
Cite
@article{arxiv.math/0504169,
title = {The nonlinear membrane model: Variational derivation under the constraint "det$\nabla u\not=0$"},
author = {Omar Anza Hafsa and Jean-Philippe Mandallena},
journal= {arXiv preprint arXiv:math/0504169},
year = {2007}
}
Comments
16 pages, submitted to Journal de Mathematiques pures et appliquees on 8 October, 2004