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Phone: (407) 823-6284;   Fax: (407) 823-6253;   MAP  207 2005-2006 MATHEMATICS COLLOQUIUM SERIES 01/23/06 Colloquium Dr. An Le University of Utah The p-Laplace Operator Abstract:  In this talk, we will discuss some basic properties of the p-Laplace operator on bounded domains and establish the local Holder continuity of the inverse of the operator.