13 citations · 13 across the 16 of their papers we have counts for
20 papers
Fully nonlinear logistic equations with sanctuary
Isabeau Birindelli, Giulio Galise, Fabiana Leoni
For the fully nonlinear stationary logistic equation with and , in a bounded domain with Dirichlet boundary condition, we determ…
Radial solutions of truncated Laplacian equations in punctured balls
Isabeau Birindelli, Françoise Demengel, Fabiana Leoni
We consider equations involving the truncated laplacians and having lower order terms with singular potentials posed in punctured balls. We study both the principal eigenvalue prob…
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…
Mixed boundary value problems for fully nonlinear degenerate or singular equations
Isabeau Birindelli, Francoise Demengel, Fabiana Leoni
We prove existence, uniqueness and regularity results for mixed boundary value problems associated with fully nonlinear, possibly singular or degenerate elliptic equations. Our mai…
New concentration phenomena for a class of radial fully nonlinear equations
Giulio Galise, Alessandro Iacopetti, Fabiana Leoni +1
We study radial sign-changing solutions of a class of fully nonlinear elliptic Dirichlet problems in a ball, driven by the extremal Pucci's operators and with a power nonlinear ter…
A Liouville theorem for fully nonlinear problems with infinite boundary conditions and applications
Isabeau Birindelli, Francoise Demengel, Fabiana Leoni
We prove a Liouville type classification theorem in half-spaces for infinite boundary value problems related to fully nonlinear, uniformly elliptic operators. We then apply the res…
Liouville-type results in exterior domains for radial solutions of fully nonlinear equations
Giulio Galise, Alessandro Iacopetti, Fabiana Leoni
We give necessary and sufficient conditions for the existence of positive radial solutions for a class of fully nonlinear uniformly elliptic equations posed in the complement of a…
regularity for singular or degenerate fully nonlinear operators and applications
Isabeau Birindelli, Francoise Demengel, Fabiana Leoni
In this note, we prove regularity for solutions of some fully nonlinear degenerate elliptic equations with "superlinear" and "subquadratic " Hamiltonian terms.…
Dirichlet problems for fully nonlinear equations with \lq subquadratic \lq Hamiltonians
Isabeau Birindelli, Francoise Demengel, Fabiana Leoni
For a class of fully nonlinear equations having second order operators which may be singular or degenerate when the gradient of the solutions vanishes, and having first order terms…
Concentration and energy invariance for a class of fully nonlinear elliptic equations
Isabeau Birindelli, Giulio Galise, Fabiana Leoni +1
We study the asymptotic behaviour of positive solutions of fully nonlinear elliptic equations in a ball, as the exponent of the power nonlinearity approaches a critical value. We s…
Ergodic pairs for singular or degenerate fully nonlinear operators
Isabeau Birindelli, Francoise Demengel, Fabiana Leoni
We study the ergodic problem for fully nonlinear operators which may be singular or degenerate when the gradient of solutions vanishes. We prove the convergence of both explosive s…
Liouville theorems for a family of very degenerate elliptic non linear operators
Isabeau Birindelli, Giulio Galise, Fabiana Leoni
We prove nonexistence results of Liouville type for nonnegative viscosity solutions of some equations involving the fully nonlinear degenerate elliptic operators ,…
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…
Symmetry and spectral properties for viscosity solutions of fully nonlinear equations
Isabeau Birindelli, Fabiana Leoni, Filomena Pacella
We study symmetry properties of viscosity solutions of fully nonlinear uniformly elliptic equations. We show that if is a viscosity solution of a rotationally invariant equatio…
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…
Symmetry minimizes the principal eigenvalue: an example for the Pucci's sup operator
Isabeau Birindelli, Fabiana Leoni
We explicitly evaluate the principal eigenvalue of the extremal Pucci's sup--operator for a class of special plane domains, and we prove that, for fixed area, the eigenvalue is min…
Explicit subsolutions and a Liouville theorem for fully nonlinear uniformly elliptic inequalities in halfspaces
Fabiana Leoni
We prove a Liouville type theorem for arbitrarily growing positive viscosity supersolutions of fully nonlinear uniformly elliptic equations in halfspaces. Precisely, let $M^-_{λ, Λ…