数学物理学报(英文版)

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EXISTENCE AND MULTIPLICITY OF POSITIVE SOLUTIONS TO CERTAIN QUASILINEAR ELLIPTIC EQUATIONS IN A BALL

汪全珍; 陈祖墀   

  1. 中国科技大学数学系, 合肥 230026
  • 收稿日期:2003-10-16 修回日期:1900-01-01 出版日期:2006-01-20 发布日期:2006-01-20
  • 通讯作者: 汪全珍
  • 基金资助:

    The project was supported by NNSF of China (10371116)

EXISTENCE AND MULTIPLICITY OF POSITIVE SOLUTIONS TO CERTAIN QUASILINEAR ELLIPTIC EQUATIONS IN A BALL

Wang Quanzhen; Chen Zuchi   

  1. Department of Mathematics, University of Science and Technology of China, Hefei 230026, China
  • Received:2003-10-16 Revised:1900-01-01 Online:2006-01-20 Published:2006-01-20
  • Contact: Wang Quanzhen

摘要:

By the fixed point theorem on a cone and monotone iterative technique, the existence and multiplicity of the positive radial solutions to a class of quasilinear elliptic equations are considered. Also, using the monotone
iteration method the authors deal with the boundary value problem as the
nonlinear term f(t,u) increases in u.

关键词: Quasilinear, positive radial solution, multiplicity, iteration

Abstract:

By the fixed point theorem on a cone and monotone iterative technique, the existence and multiplicity of the positive radial solutions to a class of quasilinear elliptic equations are considered. Also, using the monotone
iteration method the authors deal with the boundary value problem as the
nonlinear term f(t,u) increases in u.

Key words: Quasilinear, positive radial solution, multiplicity, iteration

中图分类号: 

  • 35J60