Holder continuity for vector-valued minimizers of quadratic functionals

In this article we give a sufficient condition for interior everywhere Holder continuity of weak minimizers of a class of quadratic functionals with coefficients $A_{ij}^{\alpha\beta}(\cdot,u)$ belonging to the VMO-class, uniformly with respect to $u\in\mathbb{R}^{N}$, and continuous with respe...

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Bibliographic Details
Main Authors: Josef Danecek, Eugen Viszus
Format: Article
Language:English
Published: Texas State University 2020-07-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2020/69/abstr.html