%0 Journal Article %T n?鑫?平均曲率方程同宿解的存在唯一性<br>Existence and uniqueness of homoclinic solutions for an ??n?? dimensional prescribed mean curvature equation %A 汪瑞 %A 梁载涛 %A 梁峰 %J 四川大学学报 (自然科学版) %D 2015 %X 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.<br>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 %K 同宿解 重合度拓展定理 平均曲率方程< %K br> %K Homoclinic solution Coincidence degree Prescribed mean curvature equation %U http://science.ijournals.cn/jsunature_cn/ch/reader/view_abstract.aspx?file_no=20154004&flag=1