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math.AP2020
Minimizing movements for forced anisotropic mean curvature flow of partitions with mobilities
Giovanni Bellettini, Antonin Chambolle, Shokhrukh Yu. Kholmatov
Under suitable assumptions on the family of anisotropies, we prove the existence of a weak global -Hölder continuous in time mean curvature flow with mobilities of a…
math.AP2019
A unified model for stress-driven rearrangement instabilities
Shokhrukh Yu. Kholmatov, Paolo Piovano
A variational model to simultaneously treat Stress-Driven Rearrangement Instabilities, such as boundary discontinuities, internal cracks, external filaments, edge delamination, wet…
math.AP2016
Minimizers of anisotropic perimeters with cylindrical norms
G. Bellettini, M. Novaga, Sh. Yu. Kholmatov
We study various regularity properties of minimizers of the --perimeter, where is a norm. Under suitable assumptions on and on the dimension of the ambient space, we pro…