Liouville-type results in exterior domains for radial solutions of fully nonlinear equations

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 ball in RN, and equipped with homogeneous Dirichlet boundary conditions.

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Bibliographic Details
Published in:Journal of Differential Equations 2020-09, Vol.269 (6), p.5034-5061
Main Authors: Galise, Giulio, Iacopetti, Alessandro, Leoni, Fabiana
Format: Article
Language:English
Subjects:
Critical exponents
Exterior domains
Fully nonlinear Dirichlet problems
Radial solutions
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Description
Summary: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 ball in RN, and equipped with homogeneous Dirichlet boundary conditions.
ISSN:0022-0396
1090-2732
DOI:10.1016/j.jde.2020.03.051