On the existence of solution of a two-point boundary value problem in a cylindrical floating zone
Shi Yongdong1and Du Liangsheng2
Received19 Feb 1999
Abstract
Existence of one solution for a two-point boundary value problem
with a positive parameter Q arising in the study of
surface-tension-induced flows of a liquid metal or semiconductor
is studied. On the basis of the upper-lower solution method and
Schauder's fixed point theorem, it is proved that the problem
admits a solution when 0≤Q≤12.683. This improves a recent result where 0≤Q<1.