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math.AP2019
Rigidity of a non-elliptic differential inclusion related to the Aviles-Giga conjecture
Xavier Lamy, Andrew Lorent, Guanying Peng
In this paper we prove sharp regularity for a differential inclusion into a set that arises in connection with the Aviles-Giga functional. The set…
math.AP2019
First critical field of highly anisotropic three-dimensional superconductors via a vortex density model
Andres Contreras, Guanying Peng
We analyze a mean field model for d anisotropic superconductors with a layered structure, in the presence of a strong magnetic field. The mean field model arises as the -…