8 papers
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…