The results established by the members of this project will give rise to publications, which will be listed in this page.
In any paper, preprint and form of dissemination, the following text will be included: “ This research is supported by PRIN 2022 7HX33Z - CUP J53D23003610006, Pattern formation in nonlinear phenomena.” .
♦ Free boundary problems: viscosity and variational approaches. Dedicated to Sandro Salsa on the occasion of his 75th birthday.
Special issue in "La Matematica"
https://link.springer.com/collections/hcafegahbe
♦ Davide Giovagnoli, David Jesus, Luis Silvestre
C^{1,\alpha} regularity for fractional p-harmonic functions
https://doi.org/10.48550/arXiv.2509.26565
♦ Fausto Ferrari, Davide Giovagnoli, Enzo Maria Merlino
On a fractional Alt-Caffarelli-Friedman-type monotonicity formula
https://doi.org/10.48550/arXiv.2509.25891
♦ David Jesus, Maria Soria-Carro
Fully Nonlinear parabolic fixed transmission problems On a fractional Alt-Caffarelli-Friedman-type monotonicity formula
https://doi.org/10.48550/arXiv.2507.19277
♦ Fausto Ferrari, Davide Giovagnoli, David Jesus
On the Geometry of the Solutions of the Fully Nonlinear Inhomogeneous One-Phase Stefan Problem
https://doi.org/10.48550/arXiv.2504.12912
♦ Fausto Ferrari, Nicolò Forcillo, Enzo Maria Merlino
Lipschitz regularity for almost minimizers of a one-phase Bernoulli-type functional in Carnot Groups of step two
Calc. Var. Partial Differential Equations 64, 107 (2025).
https://doi.org/10.1007/s00526-025-02959-x - arXiv:2311.02975
♦ Francesca Corni, Fausto Ferrari
The Fractional Powers of the Sub-Laplacian in Carnot Groups Through an Analytic Continuation
J. Geom. Anal. 35 (2025), no. 4, Paper No. 106.
https://link-springer-com.ezproxy.unibo.it/article/10.1007/s12220-025-01924-6
♦ David Jesus, Edgard A. Pimentel, David Stolnicki
Boundary regularity for a fully nonlinear free transmission problem
https://arxiv.org/abs/2411.15335
♦ Davide Giovagnoli, David Jesus
A fully nonlinear transmission problem degenerating on the interface
https://arxiv.org/abs/2410.16957
♦ Fausto Ferrari, Claudia Lederman
Regularity of flat free boundaries for two-phase p(x)-Laplacian problems with right hand side.
Calc. Var. Partial Differential Equations 63 (2024), no. 5, Paper No. 132.
https://doi.org/10.1007/s00526-024-02741-5
♦Fausto Ferrari, Nicolò Forcillo, Davide Giovagnoli, David Jesus
Free boundary regularity for the inhomogeneous one-phase Stefan problem
https://arxiv.org/abs/2404.07535
♦ Fausto Ferrari, Enzo Maria Merlino
Lipschitz regularity for almost minimizers of a one-phase p-Bernoulli-type functional in Carnot Groups of step two
https://doi.org/10.48550/arXiv.2407.00084
♦ Fausto Ferrari, Davide Giovagnoli
Some counterexamples to Alt–Caffarelli–Friedman monotonicity formulas in Carnot groups
Ann. Mat. Pur App.
https://link.springer.com/content/pdf/10.1007/s10231-024-01490-8.pdf