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math.AP2023
Existence of minimizers for the SDRI model in : Wetting and dewetting regimes with mismatch strain
Shokhrukh Kholmatov, Paolo Piovano
The existence and the regularity results obtained in [37] for the variational model introduced in [36] to study the optimal shape of crystalline materials in the setting of stress-…
math.DG2023
Some aspects of anisotropic curvature flow of planar partitions
Giovanni Bellettini, Shokhrukh Yu. Kholmatov
We consider the geometric evolution of a network in the plane, flowing by anisotropic curvature. We discuss local existence of a classical solution in the presence of several smoot…