https://neckpinch.com/authors/domenico-angelo-la-manna/New arXiv papers by Domenico Angelo La Manna, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2508.03134/arxiv:2508.03134Tue, 05 Aug 2025 00:00:00 GMTAndrea Kubin, Domenico Angelo La Manna, Enrico Pasqualetto — In this article, we introduce a variational algorithm, in the spirit of the minimizing movements scheme, to model the volume-preserving anisotropic mean curvature flow in 2D. We show that this algorithm can be used to prove the existence of classical solutions. Moreover, we prove that this algorithm converges to the global solution of the equation.Mean curvature flowVolume-preserving & constrained flowsAnisotropic & nonlocal flowsWeak & singular flowsLong-time existence & convergence https://neckpinch.com/papers/2307.03912/arxiv:2307.03912Sat, 08 Jul 2023 00:00:00 GMTVesa Julin, Domenico Angelo La Manna — We prove that the volume preserving fractional mean curvature flow starting from a convex set does not develop singularities along the flow. By the recent result of Cesaroni-Novaga this then implies that the flow converges to a ball exponentially fast. In the proof we show that the apriori estimates due to Cinti-Sinestrari-Valdinoci imply the C^(1+α)-regularity of the flow and then provide a regularity argument which improves this into C^(2+α)-regularity of the flow. The regularity step from C^(1+α) into C^(2+α) does not rely on convexity and can probably be adopted to more general setting.Mean curvature flowAnisotropic & nonlocal flowsSingularitiesLong-time existence & convergence