223 citations
- Istituto Nazionale di Fisica Nucleare, Gruppo Collegato di Parma29 papers
- Politecnico di TorinoIT16 papers
- Istituto Nazionale di Fisica Nucleare, Sezione di FirenzeIT10 papers
- National Interuniversity Consortium for the Physical Sciences of MatterIT8 papers
- University of LeedsGB6 papers
- Bielefeld UniversityDE5 papers
- Istituto Nazionale di Fisica Nucleare, Sezione di PaviaIT5 papers
- University of SalernoIT5 papers
- Centre National de la Recherche ScientifiqueFR4 papers
- European Organization for Nuclear ResearchCH4 papers
- University of FlorenceIT4 papers
- University of FreiburgDE4 papers
6 papers · 1 filter
On the Aleksandrov-Bakelman-Pucci estimate for the infinity Laplacian
Fernando Charro, Guido De Philippis, Agnese Di Castro +1
We prove bounds and estimates of the modulus of continuity of solutions to the Poisson problem for the normalized infinity and -Laplacian, namely \[ -Δ_p^N u=f\qquad\…
Asymptotic behavior in time periodic parabolic problems with unbounded coefficients
L. Lorenzi, A. Lunardi, A. Zamboni
We study asymptotic behavior in a class of non-autonomous second order parabolic equations with time periodic unbounded coefficients in . Our results g…
Energy dissipation and self-similar solutions for an unforced inviscid dyadic model
D. Barbato, F. Flandoli, F. Morandin
A shell-type model of an inviscid fluid, previously considered in the literature, is investigated in absence of external force. Energy dissipation of positive solutions is proved a…
Equilibrium Solution to the Inelastic Boltzmann Equation Driven by a Particles Thermal Bath
Marzia Bisi, Jose A. Carrillo, Bertrand Lods
We show the existence of smooth stationary solutions for the inelastic Boltzmann equation under the thermalization induced by a host-medium with a fixed distribution. This is achie…
Nonautonomous Kolmogorov parabolic equations with unbounded coefficients
M. Kunze, L. Lorenzi, A. Lunardi
We study a class of elliptic operators with unbounded coefficients defined in $I\times\CR^d$ for some unbounded interval $I\subset\CR$. We prove that, for any , the Cau…
Gradient regularity for elliptic equations in the Heisenberg Group
Giuseppe Mingione, Anna Zatorska-Goldstein, Xiao Zhong
We give dimension-free regularity conditions for a class of possibly degenerate sub-elliptic equations in the Heisenberg group exhibiting super-quadratic growth in the horizontal g…