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20152026
most citedExistence through convexity for the truncated Laplacians

3 citations · 5 across the 13 of their papers we have counts for

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Showing 2019 · math.APShow all

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math.AP2019

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…

math.AP2019★ 1 cited

Positivity sets of supersolutions of degenerate elliptic equations and the strong maximum principle

Isabeau Birindelli, Giulio Galise, Hitoshi Ishii

We investigate positivity sets of nonnegative supersolutions of the fully nonlinear elliptic equations in , where is an open subset of , an…

math.AP2019

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…

math.AP2019

The Dirichlet problem for fully nonlinear degenerate elliptic equations with a singular nonlinearity

Isabeau Birindelli, Giulio Galise

We investigate the homogeneous Dirichlet problem in uniformly convex domains for a large class of degenerate elliptic equations with singular zero order term. In particular we esta…

math.AP2019★ 3 cited

Existence through convexity for the truncated Laplacians

Isabeau Birindelli, Giulio Galise, Hitoshi Ishii

We study the Dirichlet problem on a bounded convex domain of , with zero boundary data, for truncated Laplacians , with . We establish a neces…