The quantitative isoperimetric inequality and related topics | Bulletin of Mathematical Sciences
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The distance of an almost‐constant mean curvature boundary from a finite family of disjoint
tangent balls with equal radii is quantitatively controlled in terms of the oscillation of the …

We show that the theory of varifolds can be suitably enriched to open the way to applications
in the field of discrete and computational geometry. Using appropriate regularizations of the …

Motivated by the study of the equilibrium equations for a soap film hanging from a wire
frame, we prove a compactness theorem for surfaces with asymptotically vanishing mean …

We present some recent results on the possibility of extending the theory of varifolds to the
realm of discrete surfaces of any dimension and codimension, for which robust notions of …

On the shape of capillarity droplets in a container | Calculus of Variations and Partial Differential
Equations Skip to main content SpringerLink Account Menu Find a journal Publish with us …

We study generalized minimizers in the soap film capillarity model introduced in King et
al.(Commun Pure Appl Math, 2020. https://doi. org/10.1002/cpa. 21951) and Maggi et …

We obtain a full resolution result for minimizers in the exterior isoperimetric problem with
respect to a compact obstacle in the large volume regime v→∞. This is achieved by the …

We study a variational model which combines features of the Ginzburg–Landau model in 2D
and of the Mumford–Shah functional. As in the classical Ginzburg–Landau theory, a …

We discuss a variational model, given by a weighted sum of perimeter, bending and Riesz
interaction energies, that could be considered as a toy model for charged elastic drops. The …