English

A duality theory for some non-convex functions of matrices

Optimization and Control 2007-05-23 v1 Analysis of PDEs

Abstract

We study a special class of non-convex functions which appear in nonlinear elasticity; and we prove that they have well-defined Legandre transforms. Several examples are given, and an application to a nonlinear eigenvalue problem

Keywords

Cite

@article{arxiv.math/0307333,
  title  = {A duality theory for some non-convex functions of matrices},
  author = {Ivar Ekeland},
  journal= {arXiv preprint arXiv:math/0307333},
  year   = {2007}
}
R2 v1 2026-07-22T16:56:32.045Z