135 citations · 217 across the 18 of their papers we have counts for
4 papers · 1 filter
Minimizing cones for fractional capillarity problems
Serena Dipierro, Francesco Maggi, Enrico Valdinoci
We consider a fractional version of Gauss capillarity energy. A suitable extension problem is introduced to derive a boundary monotonicity formula for local minimizers of this frac…
Smoothness of collapsed regions in a capillarity model for soap films
Darren King, Francesco Maggi, Salvatore Stuvard
We study generalized minimizers in the soap film capillarity model introduced in [arXiv:1807.05200,arXiv:1907.00551]. Collapsed regions of generalized minimizers are shown to be sm…
Symmetry and Rigidity of Minimal Surfaces with Plateau-like Singularities
Jacob Bernstein, Francesco Maggi
By employing the method of moving planes in a novel way we extend some classical symmetry and rigidity results for smooth minimal surfaces to surfaces that have singularities of th…
Collapsing and the convex hull property in a soap film capillarity model
Darren King, Francesco Maggi, Salvatore Stuvard
Soap films hanging from a wire frame are studied in the framework of capillarity theory. Minimizers in the corresponding variational problem are known to consist of positive volume…