PARTIAL REGULARITY OF THE MINIMIZERS OF QUADRATIC FUNCTIONALS WITH VMO COEFFICIENTS

MARIA ALESSANDRA RAGUSA; ATSUSHI TACHIKAWA

doi:10.1112/S002461070500699X

Abstract

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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PARTIAL REGULARITY OF THE MINIMIZERS OF QUADRATIC FUNCTIONALS WITH VMO COEFFICIENTS

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PARTIAL REGULARITY OF THE MINIMIZERS OF QUADRATIC FUNCTIONALS WITH VMO COEFFICIENTS

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