BOUNDARY VALUE PROBLEM FOR DEGENERATE AND SINGULAR p-LAPLACIAN SYSTEMS

doi:10.1016/S0252-9602(08)60067-3

数学物理学报(英文版)

BOUNDARY VALUE PROBLEM FOR DEGENERATE AND SINGULAR p-LAPLACIAN SYSTEMS

陈祖墀; 李杜

中国科技大学数学系, 合肥 230026

收稿日期:2005-10-08 修回日期:2006-09-22 出版日期:2008-07-20 发布日期:2008-07-20
通讯作者: 陈祖墀
基金资助:
Sponsored by the NNSFC (10371116)

BOUNDARY VALUE PROBLEM FOR DEGENERATE AND SINGULAR p-LAPLACIAN SYSTEMS

Chen Zuchi; Li Du

Department of Mathematics, University of Science and Technology of China, Hefei 230026, China

Received:2005-10-08 Revised:2006-09-22 Online:2008-07-20 Published:2008-07-20
Contact: Chen Zuchi

摘要/Abstract

摘要：

In this article, using the contraction mapping principle and the shooting method, the authors obtain the existence and uniqueness of the local
solution and the global solution to a class of quasilinear elliptic systems with
p-Laplacian as its principal. They also obtain the continuous dependence of the solutions on the boundary data.

关键词: Elliptic system, degenerate, singular, contraction mapping principle, shooting method

Abstract:

Key words: Elliptic system, degenerate, singular, contraction mapping principle, shooting method

中图分类号:

35J55

陈祖墀; 李杜. BOUNDARY VALUE PROBLEM FOR DEGENERATE AND SINGULAR p-LAPLACIAN SYSTEMS[J]. 数学物理学报(英文版), 2008, 28(3): 651-664.

Chen Zuchi; Li Du. BOUNDARY VALUE PROBLEM FOR DEGENERATE AND SINGULAR p-LAPLACIAN SYSTEMS[J]. Acta mathematica scientia,Series B, 2008, 28(3): 651-664.

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BOUNDARY VALUE PROBLEM FOR DEGENERATE AND SINGULAR p-LAPLACIAN SYSTEMS

BOUNDARY VALUE PROBLEM FOR DEGENERATE AND SINGULAR p-LAPLACIAN SYSTEMS

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