5 papers · 1 filter
On a generalized Aviles-Giga functional: compactness, zero-energy states, regularity estimates and energy bounds
Xavier Lamy, Andrew Lorent, Guanying Peng
Given any strictly convex norm on that is in , we study the generalized Aviles-Giga functional \[I_ε(m):=\int_Ω \left(ε…
Factorization for entropy production of the Eikonal equation and regularity
Andrew Lorent, Guanying Peng
The Eikonal equation arises naturally in the limit of the second order Aviles-Giga functional whose -convergence is a long standing challenging problem. The theory of entropy so…
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…
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 -…
Bounded solutions for a class of Hamiltonian systems
Philip Korman, Guanying Peng
We obtain bounded for all solutions of ordinary differential equations as limits of the solutions of the corresponding Dirichlet problems on , with $L \rightarrow \inft…