Article Contents
Article Contents

# The geometry of mesoscopic phase transition interfaces

• We consider a mesoscopic model of phase transitions and investigate the geometric properties of the interfaces of the associated minimal solutions. We provide density estimates for level sets and, in the periodic setting, we construct minimal interfaces at a universal distance from any given hyperplane.
Mathematics Subject Classification: Primary: 35B10, 35B15, 35B27; Secondary: 35J20, 35Q72, 49S05.

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