21 citations · 34 across the 7 of their papers we have counts for
7 papers
Regularity properties for a class of non-uniformly elliptic Isaacs operators
Fausto Ferrari, Antonio Vitolo
We consider the elliptic differential operator defined as the sum of the minimum and the maximum eigenvalue of the Hessian matrix, which can be viewed as a degenerate elliptic Isaa…
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…
Removable singularities for degenerate elliptic Pucci operators
Giulio Galise, Antonio Vitolo
In this paper we introduce some fully nonlinear second order operators defined as weighted partial sums of the eigenvalues of the Hessian matrix, arising in geometrical contexts, w…
Entire solutions of fully nonlinear elliptic equations with a superlinear gradient term
Giulio Galise, Shigeaki Koike, Olivier Ley +1
In this paper we consider second order fully nonlinear operators with an additive superlinear gradient term. Like in the pioneering paper of Brezis for the semilinear case, we obta…
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…