扇域上Neumann问题的若干结果

Several Results about Neumann Problems on Sector Area

首先利用Green第一公式给出扇域上Neumann问题存在解的充分必要条件,然后利用本征函数法给出问题的求解过程和解的具体形式,最后利用极值原理说明问题解的唯一性.

This paper deals with theNeumann problems on the sector area. First, the author gives a necessary and sufficient condition in which its solution exists with Green first formula, then gives its integration form solution with eigenfunction method,and finally proves the uniqueness of its solution with the extreme principle.