3 citations · 3 across the 4 of their papers we have counts for
5 papers
Affine rigidity of functions with additive oscillation
Adolfo Arroyo-Rabasa, Sergio Conti
We prove that a locally integrable function must be affine if its mean oscillation, considered as a function of intervals, can be extended to a locally fini…
Superlinear free-discontinuity models: relaxation and phase-field approximation
Sergio Conti, Matteo Focardi, Flaviana Iurlano
In this paper we develop the Direct Method in the Calculus of Variations for free-discontinuity energies whose bulk and surface densities exhibit superlinear growth, respectively f…
SDFs from Unoriented Point Clouds using Neural Variational Heat Distances
Samuel Weidemaier, Florine Hartwig, Josua Sassen +3
We propose a novel variational approach for computing neural Signed Distance Fields (SDF) from unoriented point clouds. To this end, we replace the commonly used eikonal equation w…
Approximation of functions with possibly infinite jump set
Sergio Conti, Matteo Focardi, Flaviana Iurlano
We prove an approximation result for functions such that is -integrable, , and is integrable over the jump set…
A note on the Hausdorff dimension of the singular set of solutions to elasticity type systems
Sergio Conti, Matteo Focardi, Flaviana Iurlano
We prove partial regularity for minimizers to elasticity type energies in the nonlinear framework {with -growth, ,} in dimension . It is an open problem in such a…