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Journal of the London Mathematical Society 2005 72(3):609-620; doi:10.1112/S002461070500699X
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© The London Mathematical Society

Partial Regularity of the Minimizers of Quadratic Functionals with VMO Coefficients

Maria Alessandra Ragusa and Atsushi Tachikawa

Dipartimento di Matematica, Università di Catania Viale A. Doria 6, 95125 Catania, Italy maragusa{at}dipmat.unict.it
Department of Mathematics, Faculty of Science and Technology, Tokyo University of Science Noda, Chiba 278-8510, Japan tachikawa_atsushi{at}ma.noda.tus.ac.jp

Received 29 April 2004. Revision received 8 March 2005.

The paper investigates the partial regularity of the minimizers for quadratic functionals whose integrands have VMO coefficients in principal part and nonlinear terms that are Carathéodory functions. We use some majorizations for the functional, rather than the well known Euler equation associated to it.


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