3 citations · 4 across the 7 of their papers we have counts for
13 papers
Maximum principles and related problems for a class of nonlocal extremal operators
Isabeau Birindelli, Giulio Galise, Delia Schiera
We study the validity of the comparison and maximum principles, and their relation with principal eigenvalues, for a class of degenerate nonlinear operators that are extremal among…
A regularity result for a class of non-uniformly elliptic operators
Fausto Ferrari, Giulio Galise
We obtain an explicit Hölder regularity result for viscosity solutions of a class of second order fully nonlinear equations leaded by operator that are neither convex/concave nor u…
Fractional truncated Laplacians: representation formula, fundamental solutions and applications
Isabeau Birindelli, Giulio Galise, Erwin Topp
In this note we introduce some nonlinear extremal nonlocal operators that approximate the, so called, truncated Laplacians. For these operators we construct representation formulas…
Existence issues for a large class of degenerate elliptic equations with nonlinear Hamiltonians
I. Birindelli, G. Galise, A. Rodríguez
We give sufficient conditions for the existence and uniqueness, in bounded uniformly convex domains , of solutions of degenerate elliptic equations depending also on the nonline…
Allen-Cahn equation for the truncated Laplacian: unusual phenomena
Isabeau Birindelli, Giulio Galise
We study entire viscosity solutions of the Allen-Cahn type equation for the truncated Laplacian that are either one dimensional or radial, in order to shed some light on a possible…
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…