Existence of Weak Solutions for a Nonlinear Elliptic System

被引：0

作者：

Fang, Ming ^{[1
]}

Gilbert, Robert P. ^{[2
]}

机构：

[1] Norfolk State Univ, Dept Math, Norfolk, VA 23504 USA

[2] Univ Delaware, Dept Math Sci, Newark, DE 19716 USA

来源：

BOUNDARY VALUE PROBLEMS | 2009年

关键词：

HELE-SHAW FLOWS; SQUEEZE FLOW; SLIP;

D O I：

10.1155/2009/708389

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 -Delta theta = k(theta)vertical bar del p vertical bar(r) + q(x) in Omega; -div{(k (theta)vertical bar del p vertical bar(r-2) + beta(x)vertical bar del p vertical bar(r0-2))del p} = 0 in Omega;. theta = theta(0), and p = p(0) on partial derivative Omega. Copyright (C) 2009 M. Fang and R.P. Gilbert.

引用

页数：15

共 50 条

[1] Existence of Weak Solutions for a Nonlinear Elliptic System
Ming Fang
Robert P Gilbert
Boundary Value Problems, 2009
[2] EXISTENCE OF WEAK SOLUTIONS FOR A NONUNIFORMLY ELLIPTIC NONLINEAR SYSTEM IN RN
Nguyen Thanh Chung
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2008,
[3] EXISTENCE OF WEAK SOLUTIONS FOR NONLINEAR ELLIPTIC SYSTEMS ON RN
El-Zahrani, Eada A.
Serag, Hassan M.
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2006,
[4] Existence of weak solution for nonlinear elliptic system
Hsini, Mounir
ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES, 2009, 36 (01): : 24 - 36
[5] On the existence of bounded solutions for a nonlinear elliptic system
Duran, Ricardo G.
Sanmartino, Marcela
Toschi, Marisa
ANNALI DI MATEMATICA PURA ED APPLICATA, 2012, 191 (04) : 771 - 782
[6] On the existence of bounded solutions for a nonlinear elliptic system
Ricardo G. Durán
Marcela Sanmartino
Marisa Toschi
Annali di Matematica Pura ed Applicata, 2012, 191 : 771 - 782
[7] EXISTENCE OF SOLUTIONS FOR A NONLINEAR DEGENERATE ELLIPTIC SYSTEM
Nguyen Minh Chuong
Tran Dinh Ke
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2004,
[8] Existence and multiplicity of weak solutions for a class of degenerate nonlinear elliptic equations
Mihai Mihăilescu
Boundary Value Problems, 2006
[9] Existence and multiplicity of weak solutions for a class of degenerate nonlinear elliptic equations
Mihailescu, Mihai
BOUNDARY VALUE PROBLEMS, 2006, 2006 (1)
[10] Existence of weak solutions for some nonlinear elliptic equations with variable exponents
Lv, Boqiang
Li, Fengquan
Zou, Weilin
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2013, 58 (10) : 1431 - 1447

← 1 2 3 4 5 →