International Journal of Mathematics and Mathematical Sciences
Volume 2007 (2007), Article ID 95738, 8 pages
doi:10.1155/2007/95738

A note on the regularity of the solutions to two variational inequalities involving a pseudodifferential operator

Randolph G. III jun. Cooper

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

Abstract

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.