Higher integrability of minimizing Young measures

We prove local higher integrability with large exponents for minimizers and Young measure minimizers of variational integrals of the form where F is a Carathéodory integrand that resembles the p-Dirichlet integrand at infinity. The result yields existence of minimizing sequences with higher equi-integrability properties locally in .Received: 5 April 2003, Accepted: 2 February 2004, Published online: 16 July 2004Mathematics Subject Classification (2000): 26B15,74N15Jan Kristensen: GD was supported by NSF through grant DMS0104118, and both authors were partially supported by EPSRC grant GR/R25002.