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math.AP2019
Uniform distribution of dislocations in Peierls-Nabarro models for semi-coherent interfaces
Silvio Fanzon, Marcello Ponsiglione, Riccardo Scala
In this paper we introduce Peierls-Nabarro type models for edge dislocations at semi-coherent interfaces between two heterogeneous crystals, and prove the optimality of uniformly d…
math.AP2019
On the relaxed area of the graph of discontinuous maps from the plane to the plane taking three values with no symmetry assumptions
Giovanni Bellettini, Alaa Elshorbagy, Maurizio Paolini +1
In this paper we estimate from above the area of the graph of a singular map taking a disk to three vectors, the vertices of a triangle, and jumping along three $\mathcal{C}^2-…