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 ∫ΩF(x, ∇u(x))dx where F is a Carathéodory integrand that resembles the p-Dirichlet integrand at infinity. The result yields existence of minimizing sequences with...

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Bibliographic Details
Main Authors: Dolzmann, G, Kristensen, J
Format: Journal article
Language:English
Published: 2005