3 papers
math.AP2019
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…
math.AP2019
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…
math.AP2015
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…