publications
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Asymptotic average solutions to linear second order semi-elliptic PDEs: a Pizzetti-type theorem (with E.Lanconelli), Potential Anal. (2023), 12 pp.
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On the Perron solution of the caloric Dirichlet problem:
an elementary approach (with E.Lanconelli), J. Evol. Equ. 22 (2022), no.2, 43.
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Instantaneous blowup and singular potentials on Heisenberg groups (with G.R. Goldstein, J.A. Goldstein, A. Rhandi and C. Tacelli), Ann. Sc. Norm. Super. Pisa Cl. Sci., 23 (4) (2022), 1723-1748.
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Harnack inequality and Liouville-type theorems for Ornstein-Uhlenbeck and Kolmogorov operators (with E.Lanconelli and E. Priola), Math. Eng. 2 (2020), no. 4, 680-697.
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Liouville-type theorems for Kolmogorov and
Ornstein-Uhlenbeck operators, Lect. Notes Semin. Interdiscip. Mat. 15 (2020), 45-53.
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A Zaremba-type criterion for hypoelliptic degenerate Ornstein-Uhlenbeck operators, Discrete Contin. Dyn. Syst. Ser. S 13 (2020), no. 12, 3491-3494.
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On the Dirichłet problem in cylindrical domains for evolution Oleînik-Radkeviĉ PDE's: a Tikhonov-type theorem, J. Differential Equations 268 (2019), no.1, 186-203.
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Linear and semilinear problems involving $\Delta_\lambda$-Laplacians (with E.Lanconelli), Electron. J. Differential Equations 25 (2018), 167-178.
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A Wiener-Landis criterion for Kolmogorov-type operators (with E.Lanconelli and G.Tralli),
Discrete Contin. Dyn. Syst. Ser. A, 38 (2018), no.5, 2467-2485.
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On the Dirichlet problem for evolution equations : Perron-Wiener solution and a cone-type criterion,
J. Differential Equations 262 (2017), no.3, 1524-1539.
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Harnack inequality for hypoelliptic second order Partial Differential Operators (with S.Polidoro), Potential Anal. 45 (2016), no.3, 545-555.
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On Liouville-type theorems and the uniqueness of the positive Cauchy problem for a class of hypoelliptic operators (with Y. Pinchover and S.Polidoro), J. Evol. Equ. 16 (2016), no.4, 905-943.
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Weighted ${L^p}$-Liouville Theorems for Hypoelliptic Partial Differential Operators on Lie Groups (with A.Bonfiglioli), J. Evol. Equ. 16 (2016), no.3, 569-585.
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Hardy type inequalities for $\Delta_\lambda$-Laplacians (with S.Sonner), Complex Var. Elliptic Equ. 61 (2016), no. 3, 422-442.
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${L^p}$-Liouville Theorems for Invariant Partial Differential Operators
in ${\mathbb{R}^n}$
(with E.Lanconelli), Nonlinear Anal. 121 (2015), no.11, 188-205.
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A Liouville-type Theorem on halfspaces for sub-Laplacians,
Proc. Amer. Math. Soc. 143(1) (2015), 239-248.
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Attractors met $X$-elliptic operators (with S.Sonner), J. Math. Anal. Appl., 420 (2014), 407-434.
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An inverse mean value property for evolution equations (with E.Lanconelli and G.Tralli), Adv. Differential Equations, Vol. 19, Numbers 7-8 (2014), 783-804.
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Attractors for a class of semi-linear degenerate
parabolic equations (with S.Sonner), J. Evol. Equ. 13 (2013), no.3, 675-691.
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Blaschke, Privaloff, Reade and Saks Theorems for diffusion equations on Lie groups (with G.Tralli), Potential Anal. 38 (2013), no. 4, 1103-1122.
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On semilinear $\Delta_\lambda$-Laplace equation (with E.Lanconelli), Nonlinear Anal. 75 (2012), no.12, 4637-4649.
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A control condition for a weak Harnack inequality, Nonlinear Anal. 75 (2012), no.11, 4198-4204.
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Liouville
Theorem for X -elliptic operators (with E.Lanconelli), Nonlinear Anal. 70 (2009), no.8, 2974-2985.
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Liouville
Theorems for a class of linear second order operators with
nonnegative characteristic form (with E.Lanconelli),
Bound. Value Probl. 2007, Art. ID 48232, 16 pp.
- Link of
groups and Hörmander operators (with E.Lanconelli),
Proc. Amer. Math. Soc. 135 (2007), 2019-2030.
- Liouville
Theorems in halfspaces for parabolic hypoelliptic equations (with E.Lanconelli),
Ric. Mat. 55 (2006), no.2, 267-282.
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One-side Liouville Theorems for a class of
hypoelliptic ultraparabolic equations (with E.Lanconelli),
Contemp. Math., 368 (2005), 305-312, Amer. Math. Soc., Providence, RI, 2005.
- An invariant Harnack inequality for a class of hypoelliptic ultraparabolic equations (with E.Lanconelli),
Mediterr. J. Math. 1 (2004), no.1, 51-80.
- X-elliptic operators and
X-control distances (with E.Lanconelli), Contributions in honor of the memory of Ennio De Giorgi, Ricerche Mat. 49 (2000), suppl., 223-243.
other publications
A basis of resolutive sets for the heat equation: an elementary construction , Bruno Pini Math. Anal. Semin., Vol.13 (2022), 1-8.
On the first boundary problem for evolution equations : Perron-Wiener solutions and cone-type criteria , Bruno Pini Math. Anal. Semin., Vol.7 (2016), 116-128.
${L^p}$-Liouville Theorems for Invariant Evolution Equations, Bruno Pini Math. Anal. Semin., Vol.1 (2014), 1-14.