International Journal of Mathematics and Mathematical Sciences
Volume 2007 (2007), Article ID 95738, 8 pages
Research Article

A Note on the Regularity of the Solutions to Two Variational Inequalities Involving a Pseudodifferential Operator

Randolph G. Cooper Jr. III

Department of Mathematics, California State University, Los Angeles 90032-8204, CA, USA

Received 11 October 2006; Accepted 25 May 2007

Academic Editor: Misha Rudnev

Copyright © 2007 Randolph G. Cooper. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The regularity of solutions to variational inequalities involving local operators has been studied extensively. Less attention has been paid to those involving nonlocal pseudodifferential operators. We present two regularity results for such problems.