Open Access Research Article

Existence of Weak Solutions for a Nonlinear Elliptic System

Ming Fang1* and RobertP Gilbert2

Author Affiliations

1 Department of Mathematics, Norfolk State University, Norfolk, VA 23504, USA

2 Department of Mathematical Sciences, University of Delaware, Newark, DE 19716, USA

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Boundary Value Problems 2009, 2009:708389  doi:10.1155/2009/708389

Published: 26 August 2009

Abstract

We investigate the existence of weak solutions to the following Dirichlet boundary value problem, which occurs when modeling an injection molding process with a partial slip condition on the boundary. We have in ; in ; , and on .