变分情形下S-N类混合边值问题适定性的研究

Study on the MBVP Under the Circumstance of Calculus Variations

本文以参考椭球面为边界研究变分情形下S-N类混合边值问题的适定性。应用Kelvin变换,将外部问题转化为内部问题,然后在变分情形下证明了此边值问题具有很好的适定性。

The proper determination of S-N mixed boundary value problem on the reference ellipsoid is studied in this paper.When Kelvein transformation is applied to it,the outer problem is transformed into the inner problem.Then the fine character of proper determination of this boundary value problem under the circumstance of calculus of variations is proved.