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Partial Regularity of the Minimizers of Quadratic Functionals with VMO Coefficients
Author(s) -
Ragusa Maria Alessandra,
Tachikawa Atsushi
Publication year - 2005
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/s002461070500699x
Subject(s) - mathematics , quadratic equation , nonlinear system , euler's formula , mathematical analysis , euler equations , geometry , physics , quantum mechanics
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.