On some problems related to de Giorgi’s conjecture

Pages: 101 - 106, Volume 2, Issue 1, March 2003

doi:10.3934/cpaa.2003.2.101       Abstract        Full Text (167.3K)       Related Articles

Changfeng Gui - University of Connecticut, United States (email)

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.

Revised: October 2002;      Published: December 2002.