The Regularity of Continuous Weak Solutions of Certain Nonlinear Elliptic Systems

J. Math. Sci. Univ. Tokyo
Vol. 8 (2001), No. 3, Page 403--413.

Bin, Xu
The Regularity of Continuous Weak Solutions of Certain Nonlinear Elliptic Systems
[Full Article (PDF)] [MathSciNet Review (HTML)] [MathSciNet Review (PDF)]


Abstract:
In this paper, we show the locally H{\" o}lder continuity of the continuous weak solutions for certain nonlinear elliptic systems. Furthermore we give an application to another kind of elliptic systems.

Keywords: Nonlinear elliptic systems, regular sets of weak solutions, continuous weak solutions

Mathematics Subject Classification (2000): Primary 35J60; Secondary 35B65
Mathematical Reviews Number: MR1855454

Received: 2000-04-24