Archive for Rational Mechanics and Analysis

, Volume 172, Issue 1, pp 133–152

The Regularity of Critical Points of Polyconvex Functionals


DOI: 10.1007/s00205-003-0300-7

Cite this article as:
Székelyhidi, Jr., L. Arch. Rational Mech. Anal. (2004) 172: 133. doi:10.1007/s00205-003-0300-7


In this paper we are concerned with the question of regularity of critical points for functionals of the type eq1 We construct a smooth, strongly polyconvex eq2, and Lipschitzian weak solutions eq3 to the corresponding Euler-Lagrange system, which are nowhere C1. Moreover we show that F can be chosen in such a way that these irregular weak solutions are weak local minimisers.

Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  1. 1.Institute for Advanced StudySchool of Mathemetics PrincetonU.S.A