a1 Institut für Mathematik–Angewandte Mathematik, Humboldt-Universität zu Berlin, Unter den Linden 6, D-10 099 Berlin, Germany
a2 School of Mathematical Sciences, University of Bath, Bath BA2 7AY, U.K.
In this paper we study homotopy classes of deformations and their properties under weak convergence. As an application, we give an analytic proof (in two and three dimensions) of the existence of infinitely many local minimisers for a displacement boundary-value problem from finite elasticity, posed on a nonconvex domain, under the constitutive assumption of polyconvexity.
(Received November 14 1995)
(Revised October 02 1996)