Existence of Weak Solutions for a Nonlinear Elliptic System

被引：0

作者：

Ming Fang

Robert P Gilbert

机构：

[1] Norfolk State University,Department of Mathematics

[2] University of Delaware,Department of Mathematical Sciences

来源：

Boundary Value Problems | / 2009卷

关键词：

Weak Solution; Elliptic System; Slip Condition; Obstacle Problem; Existence Proof;

D O I：

暂无

中图分类号：

学科分类号：

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 [inline-graphic not available: see fulltext] in [inline-graphic not available: see fulltext]; [inline-graphic not available: see fulltext] in [inline-graphic not available: see fulltext]; [inline-graphic not available: see fulltext], and [inline-graphic not available: see fulltext] on [inline-graphic not available: see fulltext].

引用

共 50 条

[21] Existence of Solutions of a Superlinear Elliptic System at Resonance
Ma, Ruyun
Ma, Mantang
Zhu, Yan
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2023, 22 (02)
[22] Existence of three nontrivial solutions for an elliptic system
Cheng, Xiyou
Zhong, Chengkui
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 327 (02) : 1420 - 1430
[23] EXISTENCE OF POSITIVE GLOBAL RADIAL SOLUTIONS TO NONLINEAR ELLIPTIC SYSTEMS
Padhi, Seshadev
Dix, Julio G.
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2023, : 231 - 238
[24] Boundary regularity of weak solutions to nonlinear elliptic obstacle problems
M Junxia
Chu Yuming
Boundary Value Problems, 2006
[25] A criterion for existence of a positive solution of a nonlinear elliptic system
Velin, J.
ANALYSIS AND APPLICATIONS, 2008, 6 (03) : 299 - 321
[26] EXISTENCE AND UNIQUENESS OF WEAK SOLUTIONS FOR A CLASS OF NONLINEAR PARABOLIC EQUATIONS
Chen, Peiying
ELECTRONIC RESEARCH ANNOUNCEMENTS IN MATHEMATICAL SCIENCES, 2017, 24 : 38 - 52
[27] Existence of non-radial solutions of an elliptic system
Lou, Zhenluo
APPLIED MATHEMATICS LETTERS, 2017, 68 : 157 - 162
[28] Maximum Principle and Existence of Weak Solutions for Nonlinear System Involving Weighted (p, q)-Laplacian
Khafagy, Salah. A.
Herzallah, Mohamed A. E.
SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2016, 40 (03) : 353 - 364
[29] Existence of Weak Solutions to an Elliptic-Parabolic Equation with Variable Order of Nonlinearity
Mukminov F.K.
Andriyanova E.R.
Journal of Mathematical Sciences, 2019, 241 (3) : 290 - 305
[30] Existence of at Least Three Distinct Weak Solutions for a Class of Nonlinear System of Fractional Differential Equations
Shivanian, Elyas
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2020, 41 (10) : 1228 - 1245

← 1 2 3 4 5 →