Existence of Weak Solutions for a Nonlinear Elliptic System. (26th August 2009)

• Record Type: Journal Article
• Authors: Fang, Ming; Gilbert, Robert P.
• Other Names: Perera Kanishka Academic Editor.
• Is Part Of: Boundary value problems. Volume 2009(2009)
• Publication Date: 2009-08-26
• Subjects: Boundary value problems -- Periodicals; Boundary value problems; Electronic journals; Periodicals; 515.35
• DOI: 10.1155/2009/708389
• Languages: English
• ISSNs: 1687-2762

Abstract

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− Δ θ = k ( θ ) | ∇ p | r + q ( x ) inΩ ;− div { ( k ( θ ) | ∇ p | r − 2 + β ( x ) | ∇ p | r 0 − 2 ) ∇ p } = 0 inΩ ;θ = θ 0, andp = p 0 on∂ Ω .