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OALib Journal期刊
ISSN: 2333-9721
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-  2015 

n?鑫?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

Keywords: 同宿解 重合度拓展定理 平均曲率方程
Homoclinic solution Coincidence degree Prescribed mean curvature equation

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Abstract:

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.
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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