Vol. 207, No. 1, 2002

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Chun-Chung Hsieh & Jenn-Fang Hwang & Fei-Tsen Liang

Abstract

Here we prove that if u satisfies the minimal surface equation in an unbounded domain which is properly contained in a half space of Rn, with n 2, then the growth rate of u is of the same order as that of the shape of Ω and the boundary value of u.

Authors
Chun-Chung Hsieh
Mathematics Department
Academia Sinica
Nan-kang
Taipei, 115, Taiwan
Jenn-Fang Hwang
Mathematics Department
Academia Sinica
Nan-kang
Taipei, 115, Taiwan
Fei-Tsen Liang
Mathematics Department
Academia Sinica
Nan-kang
Taipei, 115, Taiwan