On some problems related to de Giorgi’s conjecture

Changfeng Gui

doi:10.3934/cpaa.2003.2.101

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2003, Volume 2, Issue 1: 101-106. Doi: 10.3934/cpaa.2003.2.101

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On some problems related to de Giorgi’s conjecture

Changfeng Gui^1,

1.
University of Connecticut

Revised: September 30, 2002

Published: October 2003

Abstract Related Papers Cited by

Abstract

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.

Keywords:

Phase transition,
minimizing,
symmetry.

Mathematics Subject Classification: 35B40, 35B45, 35J40.

Citation:

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