March  2003, 2(1): 101-106. doi: 10.3934/cpaa.2003.2.101

On some problems related to de Giorgi’s conjecture

1. 

University of Connecticut, United States

Revised  October 2002 Published  December 2002

We study the uniqueness of minimizers for the Allen-Cahn energy and the nonexistence of monotone stationary solutions for the Allen-Cahn equation with double well potentials of different depths.
Citation: Changfeng Gui. On some problems related to de Giorgi’s conjecture. Communications on Pure & Applied Analysis, 2003, 2 (1) : 101-106. doi: 10.3934/cpaa.2003.2.101
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