Hostname: page-component-cd9895bd7-gbm5v Total loading time: 0 Render date: 2024-12-27T10:18:34.225Z Has data issue: false hasContentIssue false
  • English
  • Français

On a variational principle related to rank-one convexity

Published online by Cambridge University Press:  12 July 2007

Pablo Pedregal
Pablo Pedregal
Affiliation:
ETSI Industriales, Universidad de Castilla-La Mancha, 13071 Ciudad Real, Spain
Get access Rights & Permissions [Opens in a new window]

Abstract

By means of a certain variational principle, where rank-one convexity enters in a fundamental way as part of feasibility, we construct a whole class of rank-one convex functions. We show the existence of optimal paths and motivate our analysis by the issue of the equivalence of quasiconvexity and rank-one convexity for 2 × 2 matrices.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 132 , Issue 5 , October 2002 , pp. 1249 - 1258
Copyright
Copyright © Royal Society of Edinburgh 2002

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)