# Partial regularity for weak solutions of nonlinear elliptic systems: the subquadratic case

created by beck on 11 Nov 2009

[BibTeX]

Published Paper

Inserted: 11 nov 2009

Journal: Manuscr. Math.
Volume: 123
Pages: 453-491
Year: 2007

Abstract:

We consider weak solutions of second order nonlinear elliptic systems of divergence type under subquadratic growth conditions. Via the method of $\mathcal{A}$-harmonic approximation we give a characterization of regular points up to the boundary which extends known results from the quadratic and superquadratic case. The proof yields directly the optimal higher regularity on the regular set.