13 citations · 17 across the 6 of their papers we have counts for
7 papers
Invariant cones for linear elliptic systems with gradient coupling
I. Capuzzo Dolcetta, L. Rossi, A. Vitolo
We discuss counterexamples to the validity of the weak Maximum Principle for linear elliptic systems with zero and first order couplings and prove, through a suitable reduction to…
On the approximation of the principal eigenvalue for a class of nonlinear elliptic operators
Isabeau Birindelli, Fabio Camilli, Italo Capuzzo Dolcetta
We present a finite difference method to compute the principal eigenvalue and the corresponding eigenfunction for a large class of second order elliptic operators including notably…
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…
Maximum Principle and generalized principal eigenvalue for degenerate elliptic operators
Henri Berestycki, Italo Capuzzo Dolcetta, Alessio Porretta +1
We characterize the validity of the Maximum Principle in bounded domains for fully nonlinear degenerate elliptic operators in terms of the sign of a suitably defined generalized pr…