数学物理学报 ›› 2016, Vol. 36 ›› Issue (1): 1-13.

• 论文 •    下一篇

具有一般非线性一维平均曲率方程正解的准确个数

韦东奕   

  1. 北京国际数学研究中心, 北京大学数学学院 北京 100871
  • 收稿日期:2015-08-30 修回日期:2015-12-16 出版日期:2016-02-25 发布日期:2016-02-25
  • 作者简介:韦东奕,jnwdyi@163.com
  • 基金资助:

    山东省自然科学基金(ZR2013AM009)资助

Exact Number of Solutions of a One-Dimensional Prescribed Mean Curvature Equation with General Nonlinearities

Wei Dongyi   

  1. School of Mathematical Sciences and BICMR, Peking University, Beijing 100871
  • Received:2015-08-30 Revised:2015-12-16 Online:2016-02-25 Published:2016-02-25
  • Supported by:

    Supported by Shandong Provincial Nature Science Foundation (ZR2013AM009)

摘要:

该文用时间映射分析法研究了具有一般非线性(包括奇异)一维平均曲率方程正解的准确个数.

关键词: 解的准确个数, 平均曲率方程, 时间映射分析, 一般非线性

Abstract:

In this paper, an exact number of solutions is obtained for the one-dimensional prescribed mean curvature equation with general nonlinearities (including singular nonlinearities) by means of a detailed analysis of time-map method.

Key words: Exact number of solutions, Prescribed mean curvature equation, Time-map analysis, General nonlinearities

中图分类号: 

  • O175.8