13 citations · 13 across the 5 of their papers we have counts for
6 papers
Radial singular solutions of fully nonlinear equations in punctured balls
Isabeau Birindelli, Françoise Demengel, Fabiana Leoni
We study fully nonlinear uniformly elliptic equations having a singular reaction term with inverse quadratic potential and an absorbing superlinear term of p-power type. We conside…
Principal eigenvalues and eigenfunctions for fully nonlinear equations in punctured balls
Isabeau Birindelli, Françoise Demengel, Fabiana Leoni
This paper is devoted to the proof of the existence of the principal eigenvalue and related eigenfunctions for fully nonlinear uniformly elliptic equations posed in a punctured bal…
Homogeneous solutions of extremal Pucci's equations in planar cones
Fabiana Leoni
We derive explicit expressions of the homogeneous solutions in two dimensional cones for Pucci's extremal equations. As examples of possible applications, we obtain monotonicity fo…
Existence results for fully nonlinear equations in radial domains
Giulio Galise, Fabiana Leoni, Filomena Pacella
We consider the fully nonlinear problem \begin{equation*} \begin{cases} -F(x,D^2u)=|u|^{p-1}u & \text{in }\\ u=0 & \text{on } \end{cases} \end{equation*} where is…
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…