n维平均曲率方程同宿解的存在唯一性

Existence and uniqueness of homoclinic solutions for an n dimensional prescribed mean curvature equation

作者：汪瑞(安徽师范大学数学计算机科学学院)；梁载涛(安徽师范大学数学计算机科学学院)；梁峰(安徽师范大学数学计算机科学学院)

Author：WANG Rui(Department of Mathematics, Anhui Normal University)；LIANG Zai-Tao(Department of Mathematics, Anhui Normal University)；LIANG Feng(Department of Mathematics, Anhui Normal University)

收稿日期：2014-09-28 年卷（期）页码：2015,52(4):721-730

期刊名称：四川大学学报: 自然科学版

Journal Name：Journal of Sichuan University (Natural Science Edition)

关键字：同宿解；重合度拓展定理；平均曲率方程

Key words：Homoclinic solution; Coincidence degree; Prescribed mean curvature equation

基金项目：安徽省自然科学基金（130885MA08）

中文摘要

本文应用Mawhin重合度拓展定理和分析方法研究了n 维广义平均曲率方程2kT周期解的存在性,证明了周期解序列存在极限,且极限点就是这个系统的同宿解.

英文摘要

By means of Mawhins continuation theorem and some analysis methods, the existence of a set with 2KT periodic solutions for an n dimensional prescribed mean curvature equation is studied, and then a unique homoclinic solution is obtained as a limit of a certain subsequence of the above set.

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论文摘要

n维平均曲率方程同宿解的存在唯一性

Existence and uniqueness of homoclinic solutions for an n dimensional prescribed mean curvature equation