Simone Ciani

collaborators

3 papers

math.AP2025

Qualitative properties of solutions to parabolic anisotropic equations: Part I -- Expansion of positivity

Simone Ciani, Eurica Henriques, Mariia Savchenko +1

We prove expansion of positivity and reduction of the oscillation results to the local weak solutions to a doubly nonlinear anisotropic class of parabolic differential equations wi…

math.AP2025

Parabolic De Giorgi classes with doubly nonlinear, nonstandard growth: local boundedness under exact integrability assumptions

Simone Ciani, Eurica Henriques, Mariia O. Savchenko +1

We define a suitable class $PD G$ of functions bearing unbalanced energy estimates, that are embodied by local weak subsolutions to doubly nonlinear, double-phase, Orlicz-…

math.AP2025

Phragmén-Lindelöf-type theorems for functions in Homogeneous De Giorgi Classes

Simone Ciani, Ugo Gianazza, Zheng Li

We study Phragmén-Lindelöf-type theorems for functions $u$ in homogeneous De Giorgi classes, and we show that the maximum modulus $μ_{+} (r)$ of $u$ has a power-like growth of order $…