李瑩英Lee, Yng-IngYng-IngLee2006-07-262018-06-282006-07-262018-06-282004-12-31http://ntur.lib.ntu.edu.tw//handle/246246/20984In this note, we show that the solution to the Dirichlet problem for the minimal surface system is unique in the space of distance-decreasing maps. This follows as a corollary of the following stability theorem: if a minimal submanifold is the graph of a (strictly) distance-decreasing map, then is (strictly) stable. We also give another criterion for the stability which covers the codimension one case. All theorems are proved in a more general setting, which concerns minimal maps between Riemannian manifolds. The complete statements of the results appear in Theorem 3.1, Theorem 3.2, and Theorem 4.1.application/pdf178000 bytesapplication/pdfzh-TW國立臺灣大學數學系暨研究所reporthttp://ntur.lib.ntu.edu.tw/bitstream/246246/20984/1/922115M002011.pdf