, Volume 172, Issue 1, pp 133-152
Date: 15 Jan 2004

The Regularity of Critical Points of Polyconvex Functionals

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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 C 1. Moreover we show that F can be chosen in such a way that these irregular weak solutions are weak local minimisers.

V. Šverák