13 citations · 13 across the 4 of their papers we have counts for
4 papers
Directional ellipticity on special domains: weak Maximum and Phragmèn-Lindelöf principles
Italo Capuzzo Dolcetta, Antonio Vitolo
We prove the validity of maximum principles for a class of fully nonlinear operators on unbounded subdomains of cylindrical type. The main structural assumpt…
On the inequality
Italo Capuzzo Dolcetta, Fabiana Leoni, Antonio Vitolo
We consider fully nonlinear degenerate elliptic equations with zero and first order terms. We provide a priori upper bounds and characterize the existence of entire subsolutions un…
Entire subsolutions of fully nonlinear degenerate elliptic equations
Italo Capuzzo Dolcetta, Fabiana Leoni, Antonio Vitolo
We prove existence and non existence results for fully nonlinear degenerate elliptic inequalities, by showing that the classical Keller--Osserman condition on the zero order term i…
ABP and global Holder estimates for fully nonlinear elliptic equations in unbounded domains
Isabeau Birindelli, Italo Capuzzo Dolcetta, Antonio Vitolo
We prove global Holder estimates for solution of fully nonlinear elliptic or degenerate elliptic equations in unbounded domains under geometric conditions on the domain a' la Cabre…