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Flat flow solution to the mean curvature flow with volume constraint
Vesa Julin
In this paper I will revisit the construction of a global weak solution to the volume preserving mean curvature flow via discrete minimizing movement scheme by Mugnai-Seis-Spadaro…
Geometric Characterization of the Eyring-Kramers Formula
Benny Avelin, Vesa Julin, Lauri Viitasaari
In this paper we consider the mean transition time of an over-damped Brownian particle between local minima of a smooth potential. When the minima and saddles are non-degenerate th…
Remark on a nonlocal isoperimetric problem
Vesa Julin
We consider isoperimetric problem with a nonlocal repulsive term given by the Newtonian potential. We prove that regular critical sets of the functional are analytic. This optimal…
Lipschitz regularity for local minimizers of some widely degenerate problems
Pierre Bousquet, Lorenzo Brasco, Vesa Julin
We consider local minimizers of the functional \[ \sum_{i=1}^N \int (|u_{x_i}|-δ_i)^p_+\, dx+\int f\, u\, dx, \] where and stands for the posit…