On the regularity up to the boundary for second order nonlinear elliptic systems

Mariano Giaquinta, Jindrich Necas, O. John and J. Stará

Vol. 99 (1982), No. 1, 1–17

DOI: 10.2140/pjm.1982.99.1

Abstract

It is proved the regularity up to the boundary of the uniformly Lipschitz-continuous weak solutions of a boundary value problem for the elliptic system

from the Liouville properties of the system.

Mathematical Subject Classification 2000

Primary: 35J65

Secondary: 35B65

Milestones

Received: 17 November 1980

Published: 1 March 1982