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math.DG2022★ 1 cited
Isoperimetric residues and a mesoscale flatness criterion for hypersurfaces with bounded mean curvature
Francesco Maggi, Michael Novack
We obtain a full resolution result for minimizers in the exterior isoperimetric problem with respect to a compact obstacle in the large volume regime . This is achieved…
math.AP2022
A smectic liquid crystal model in the periodic setting
Michael Novack, Xiaodong Yan
We consider the asymptotic behavior as goes to zero of the 2D smectics model in the periodic setting given by \begin{equation*} \mathcal{E}_{\varepsilon }( w) =\frac…