Publications and Preprints

Harnack inequality for strongly degenerate elliptic operators with natural growth, Electronic Journal of Differential Equations, Conference 25 (2018), pp. 65-75 (with G. Di Fazio, P. Zamboni).

Boundary Harnack type inequality and regularity for quasilinear degenerate elliptic equations, submitted 2018, (with G. Di Fazio, P. Zamboni).

Harnack inequality and continuity of weak solutions for doubly degenerate elliptic equations, Mathematische Zeitschrift, 2018 (with G. Di Fazio, P. Zamboni).

Unique continuation of positive solutions for doubly degenerate quasilinear elliptic equations, Electronic Journal of Differential Equations, 2017 (2017), no. 158, pp. 1-10. (with G. Di Fazio, P. Zamboni).

Harnack inequality and smoothness for some non linear degenerate elliptic equations, submitted 2017 (with G. Di Fazio, P. Zamboni).

Local regularity for strongly degenerate elliptic equations and weighted sum operators, Differential and Integral Equations, 2018 (with G. Di Fazio, P. Zamboni).

On Burenkov's extension theorem preserving Sobolev-Morrey spaces on Lipschitz domains, Mathematische Nachrichten, 290, No. 1, 37–49 (2017) (with P. D. Lamberti).

The local sharp maximal function and BMO on locally homogeneous spaces, Annales Academiæ Scientiarum Fennicæ Mathematica Volumen 42, 453–472 (2017) (with M. Bramanti).

Cordes nonlinear operators in Carnot groups, Electronic Journal of Differential Equations, 2015 (2015), no. 191, 1-7 (with G. Di Fazio).

Harnack inequality for degenerate elliptic equations and sum operators, Communications on Pure and Applied Analysis, 14, 6 (2015), 2363-2376 (with G. Di Fazio, P. Zamboni).

C^{k,\alpha}-regularity of solutions to quasilinear equations structured on Hormander's vector fields, Nonlinear Analysis: Theory, Methods & Applications, 92, (2013), 13-23 (with M. Bramanti).

Sum operators and Fefferman - Phong inequalities, Geometric Methods in PDE's, Springer IndAM Series, 13, (2015) (with G. Di Fazio, P. Zamboni).

W^{2,p}_{loc} estimates for Cordes nonlinear operators in the Heisenberg group, Journal of Math. Analysis and Applications, 411, (2014), 947-952 (with G. Di Fazio).

Hölder regularity for nondivergence form elliptic equations with discontinuous coefficients, Journal of Math. Analysis and Applications, 407, 2, (2013), 545-549 (with G. Di Fazio, P. Zamboni).

BMO estimates for nonvariational operators with discontinuous coefficients structured on Hormander's vector fields on Carnot groups, Ad. in Dif. Eq., 18, 9-10, (2013), 955-1004 (with M. Bramanti).

Regularity for a class of strongly degenerate quasilinear operators, Journal of Dif. Eq., 255, (2013), 3920-3939 (with G. Di Fazio, P. Zamboni).

L^p estimates for degenerate elliptic systems with VMO coefficients, St. Petersburg Math. J., 25, 6 (2014), (with G. Di Fazio, P. Zamboni).

Harnack inequality for a class of strongly degenerate elliptic operators formed by Hormander vector fields, Manuscripta Mathematica, 135, 3-4 (2011), 361-380. (with G. Di Fazio, P. Zamboni).

Interior L^p estimates for degenerate elliptic equations in divergence form with VMO coefficients, Differential and Integral Equations, 25, 7-8 (2012), 619-628. (with G. Di Fazio, P. Zamboni).

Harnack inequality and regularity for degenerate quasilinear elliptic equations, Mathematische Zeit., 264, (2010), 679-695. (with G. Di Fazio, P. Zamboni).

Harnack inequality and smoothness for quasilinear degenerate elliptic equations, Journal of Differential Equations, 245, n. 10, (2008), 2939-2957. (with G. Di Fazio, P. Zamboni).

On the best constant for the Friedrichs-Knapp-Stein inequality in free nilpotent Lie groups of step two and applications to subelliptic PDE, J. of Geometric Analysis, 17\2 (2007), 245-252. (with A. Domokos).

BMO on spaces of homogeneous type: a density result on C-C spaces, Annales Academiae Scientiarum Fennicae 32 (2007), 13-26 . (with A. Caruso).

Subelliptic Cordes estimate in the Grushin plane, Manuscripta Math. 120 (2006), 419-433. (with G. Di Fazio, A. Domokos, J.J. Manfredi).

A density result on VMO_ω, Variational analysis and applications, Nonconvex Optim. Appl., 79, Springer, (2005), 231-237. (with A. Caruso).

BMO regularity for elliptic systems in Carnot-Carathéodory spaces, Comm. on Applied Nonlinear Analysis 10-2 (2003), 605-618. (with G. Di Fazio).

Gradient estimates for elliptic systems in Carnot-Carathéodory spaces, Comm. Math. Univ. Carol. 43-4 (2002), 605-618. (with G. Di Fazio).

Hölder continuity for non variational basic parabolic systems with linear growth, Ricerche di Matematica, LI, 2 (2002), 285-296.

Problemi di regolarità hölderiana per sistemi parabolici non variazionali, Tesi di Dottorato in Matematica (XI ciclo).

Hölder continuity for second order non variational parabolic systems, Le Matematiche, 53, (1998), 375-385.

Partial Hölder continuity for second order non linear non variational parabolic systems with controlled growth, Le Matematiche, 52, (1997), 199-215.

L^{2, λ} regularity for second order non linear non variational elliptic systems, Le Matematiche 50, (1995), 163-172.

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