Ferrari, Fausto; Giovagnoli, Davide Some counterexamples to Alt-Caffarelli-Friedman monotonicity formulas in Carnot groups. arXiv:2401.07679 Preprint, arXiv:2401.07679 [math.AP] (2024). MSC: 35R03 35R35 BibTeX Cite \textit{F. Ferrari} and \textit{D. Giovagnoli}, ``Some counterexamples to Alt-Caffarelli-Friedman monotonicity formulas in Carnot groups'', Preprint, arXiv:2401.07679 [math.AP] (2024) Full Text: arXiv OA License
Ferrari, Fausto; Forcillo, Nicolò A counterexample to the monotone increasing behavior of an Alt-Caffarelli-Friedman formula in the Heisenberg group. (English) Zbl 07799890 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 34, No. 2, 295-306 (2023). MSC: 35R03 35R35 PDFBibTeX XMLCite \textit{F. Ferrari} and \textit{N. Forcillo}, Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 34, No. 2, 295--306 (2023; Zbl 07799890) Full Text: DOI arXiv
Ferrari, Fausto; Forcillo, Nicoló; Merlino, Enzo Maria Regularity for almost minimizers of a one-phase Bernoulli-type functional in Carnot Groups of step two. arXiv:2311.02975 Preprint, arXiv:2311.02975 [math.AP] (2023). MSC: 35R35 35R03 BibTeX Cite \textit{F. Ferrari} et al., ``Regularity for almost minimizers of a one-phase Bernoulli-type functional in Carnot Groups of step two'', Preprint, arXiv:2311.02975 [math.AP] (2023) Full Text: arXiv OA License
Corni, Francesca; Ferrari, Fausto The fractional powers of the sub-Laplacian in Carnot groups through an analytic continuation. arXiv:2310.17387 Preprint, arXiv:2310.17387 [math.AP] (2023). MSC: 35R03 35R11 BibTeX Cite \textit{F. Corni} and \textit{F. Ferrari}, ``The fractional powers of the sub-Laplacian in Carnot groups through an analytic continuation'', Preprint, arXiv:2310.17387 [math.AP] (2023) Full Text: arXiv OA License
Ferrari, Fausto; Forcillo, Nicolò Alt-Caffarelli-Friedman monotonicity formula and mean value properties in Carnot groups with applications. arXiv:2310.13264 Preprint, arXiv:2310.13264 [math.AP] (2023). MSC: 35R03 35R35 BibTeX Cite \textit{F. Ferrari} and \textit{N. Forcillo}, ``Alt-Caffarelli-Friedman monotonicity formula and mean value properties in Carnot groups with applications'', Preprint, arXiv:2310.13264 [math.AP] (2023) Full Text: DOI arXiv OA License
Ferrari, F.; Forcillo, N.; Manfredi, J. J. On the \(\infty \)-Laplacian on Carnot groups. (English. Russian original) Zbl 1511.35195 J. Math. Sci., New York 268, No. 3, 310-322 (2022); translation from Probl. Mat. Anal. 118, 59-68 (2022). MSC: 35J92 35R03 35B65 PDFBibTeX XMLCite \textit{F. Ferrari} et al., J. Math. Sci., New York 268, No. 3, 310--322 (2022; Zbl 1511.35195); translation from Probl. Mat. Anal. 118, 59--68 (2022) Full Text: DOI
Dzhugan, Aleksandr; Ferrari, Fausto Domain variation solutions for degenerate two phase free boundary problems. (English) Zbl 1496.35462 Math. Eng. (Springfield) 3, No. 6, Paper No. 43, 29 p. (2021). MSC: 35R35 35J92 35R03 PDFBibTeX XMLCite \textit{A. Dzhugan} and \textit{F. Ferrari}, Math. Eng. (Springfield) 3, No. 6, Paper No. 43, 29 p. (2021; Zbl 1496.35462) Full Text: arXiv
Ferrari, Fausto Some extension results for nonlocal operators and applications. (English) Zbl 1472.35432 Beghin, Luisa (ed.) et al., Nonlocal and fractional operators. Selected papers based on the presentations at the international workshop, Rome, Italy, April 12–13, 2019. Cham: Springer. SEMA SIMAI Springer Ser. 26, 155-187 (2021). MSC: 35R11 26A33 PDFBibTeX XMLCite \textit{F. Ferrari}, SEMA SIMAI Springer Ser. 26, 155--187 (2021; Zbl 1472.35432) Full Text: DOI
Ferrari, Fausto; Forcillo, Nicolò A new glance to the Alt-Caffarelli-Friedman monotonicity formula. (English) Zbl 1487.35459 Math. Eng. (Springfield) 2, No. 4, 657-679 (2020). MSC: 35R35 35J86 35R03 35R45 PDFBibTeX XMLCite \textit{F. Ferrari} and \textit{N. Forcillo}, Math. Eng. (Springfield) 2, No. 4, 657--679 (2020; Zbl 1487.35459) Full Text: DOI arXiv
Ferrari, Fausto; Vecchi, Eugenio Hölder behavior of viscosity solutions of some fully nonlinear equations in the Heisenberg group. (English) Zbl 1439.35124 Topol. Methods Nonlinear Anal. 55, No. 1, 227-242 (2020). MSC: 35D40 35B65 35H20 35R03 PDFBibTeX XMLCite \textit{F. Ferrari} and \textit{E. Vecchi}, Topol. Methods Nonlinear Anal. 55, No. 1, 227--242 (2020; Zbl 1439.35124) Full Text: DOI Euclid
Ferrari, Fausto An application of the theorem on sums to viscosity solutions of degenerate fully nonlinear equations. (English) Zbl 1451.35059 Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 2, 975-992 (2020). MSC: 35D40 35B65 35H20 35J70 35J60 35R03 PDFBibTeX XMLCite \textit{F. Ferrari}, Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 2, 975--992 (2020; Zbl 1451.35059) Full Text: DOI arXiv
Arcozzi, Nicola; Ferrari, Fausto; Montefalcone, Francescopaolo Regularity of the distance function to smooth hypersurfaces in some two-step Carnot groups. (English) Zbl 1367.53029 Ann. Acad. Sci. Fenn., Math. 42, No. 1, 339-356 (2017). Reviewer: Andrew Bucki (Edmond) MSC: 53C17 35R03 49Q15 46E35 22E60 PDFBibTeX XMLCite \textit{N. Arcozzi} et al., Ann. Acad. Sci. Fenn., Math. 42, No. 1, 339--356 (2017; Zbl 1367.53029) Full Text: DOI
Balogh, Zoltán M.; Ferrari, Fausto; Franchi, Bruno; Vecchi, Eugenio; Wildrick, Kevin Steiner’s formula in the Heisenberg group. (English) Zbl 1322.43008 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 126, 201-217 (2015). Reviewer: Koichi Saka (Akita) MSC: 43A80 22E30 PDFBibTeX XMLCite \textit{Z. M. Balogh} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 126, 201--217 (2015; Zbl 1322.43008) Full Text: DOI Link
Ferrari, Fausto Mean value properties of fractional second order operators. (English) Zbl 1322.35164 Commun. Pure Appl. Anal. 14, No. 1, 83-106 (2015). Reviewer: James Adedayo Oguntuase (Abeokuta) MSC: 35R11 35A08 35J60 35R03 35B05 35J92 PDFBibTeX XMLCite \textit{F. Ferrari}, Commun. Pure Appl. Anal. 14, No. 1, 83--106 (2015; Zbl 1322.35164) Full Text: DOI
Ferrari, Fausto; Franchi, Bruno Harnack inequality for fractional sub-Laplacians in Carnot groups. (English) Zbl 1314.26008 Math. Z. 279, No. 1-2, 435-458 (2015). Reviewer: James Adedayo Oguntuase (Abeokuta) MSC: 26A33 35R03 PDFBibTeX XMLCite \textit{F. Ferrari} and \textit{B. Franchi}, Math. Z. 279, No. 1--2, 435--458 (2015; Zbl 1314.26008) Full Text: DOI arXiv
Ferrari, Fausto; Pinamonti, Andrea Characterization by asymptotic mean formulas of \(q\)-harmonic functions in Carnot groups. (English) Zbl 1325.35049 Potential Anal. 42, No. 1, 203-227 (2015). Reviewer: Marcelo Furtado (Brasília) MSC: 35J60 35R03 35J70 PDFBibTeX XMLCite \textit{F. Ferrari} and \textit{A. Pinamonti}, Potential Anal. 42, No. 1, 203--227 (2015; Zbl 1325.35049) Full Text: DOI
Ferrari, Fausto Some a priori estimates for a class of operators in the Heisenberg group. (English) Zbl 1297.35257 Ann. Mat. Pura Appl. (4) 193, No. 4, 1019-1040 (2014). MSC: 35R03 35B45 PDFBibTeX XMLCite \textit{F. Ferrari}, Ann. Mat. Pura Appl. (4) 193, No. 4, 1019--1040 (2014; Zbl 1297.35257) Full Text: DOI Link
Ferrari, Fausto; Liu, Qing; Manfredi, Juan J. On the horizontal mean curvature flow for axisymmetric surfaces in the Heisenberg group. (English) Zbl 1304.35389 Commun. Contemp. Math. 16, No. 3, Article ID 1350027, 41 p. (2014). Reviewer: Shu-Yu Hsu (Min-hsiung) MSC: 35K93 53C44 35R03 35D40 PDFBibTeX XMLCite \textit{F. Ferrari} et al., Commun. Contemp. Math. 16, No. 3, Article ID 1350027, 41 p. (2014; Zbl 1304.35389) Full Text: DOI arXiv
Ferrari, Fausto; Liu, Qing; Manfredi, Juan On the characterization of \(p\)-harmonic functions on the Heisenberg group by mean value properties. (English) Zbl 1293.35350 Discrete Contin. Dyn. Syst. 34, No. 7, 2779-2793 (2014). MSC: 35R03 35J70 PDFBibTeX XMLCite \textit{F. Ferrari} et al., Discrete Contin. Dyn. Syst. 34, No. 7, 2779--2793 (2014; Zbl 1293.35350) Full Text: DOI arXiv
Ferrari, Fausto; Pinamonti, Andrea Nonexistence results for semilinear equations in Carnot groups. (English) Zbl 1258.35197 Anal. Geom. Metr. Spaces 1, 130-146 (2013). MSC: 35R03 35J61 35B06 PDFBibTeX XMLCite \textit{F. Ferrari} and \textit{A. Pinamonti}, Anal. Geom. Metr. Spaces 1, 130--146 (2013; Zbl 1258.35197)
Birindelli, Isabeau; Ferrari, Fausto; Valdinoci, Enrico Semilinear PDEs in the Heisenberg group: the role of the right invariant vector fields. (English) Zbl 1185.35307 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 2, 987-997 (2010). MSC: 35R03 35J61 35B35 PDFBibTeX XMLCite \textit{I. Birindelli} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 2, 987--997 (2010; Zbl 1185.35307) Full Text: DOI
Ferrari, Fausto Stable solution of semilinear equations and Poincaré inequalities with curvatures in the Heisenberg group. (Italian. English summary) Zbl 1254.35230 Montanari, Annamaria (ed.) et al., Seminario di Analisi Matematica “Bruno Pini”, Dipartimento di Matematica dell’Università di Bologna: Anno Accademico 2008/2009. Bologna: Tecnoprint. 43-60 (2009). MSC: 35R03 35R45 PDFBibTeX XMLCite \textit{F. Ferrari}, in: Seminario di Analisi Matematica ``Bruno Pini'', Dipartimento di Matematica dell'Università di Bologna: Anno Accademico 2008/2009. Bologna: Tecnoprint. 43--60 (2009; Zbl 1254.35230)
Ferrari, Fausto; Franchi, Bruno; Pajot, Hervé The geometric traveling salesman problem in the Heisenberg group. (English) Zbl 1142.28004 Rev. Mat. Iberoam. 23, No. 2, 437-480 (2007). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 28A75 43A80 PDFBibTeX XMLCite \textit{F. Ferrari} et al., Rev. Mat. Iberoam. 23, No. 2, 437--480 (2007; Zbl 1142.28004) Full Text: DOI Euclid EuDML
Ferrari, Fausto; Franchi, Bruno; Pajot, Hervé Curvature and subsets of rectifiable curves in the Heisenberg group. (Courbure et sous-ensembles de courbes rectifiables dans le groupe de Heisenberg.) (French) Zbl 1115.53034 Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math., Palaiseau 2005-2006, XII1-XII-10 (2006). MSC: 53C30 43A80 PDFBibTeX XMLCite \textit{F. Ferrari} et al., Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math. Laurent Schwartz, Palaiseau 2005--2006, XII1-XII-10 (2006; Zbl 1115.53034) Full Text: EuDML