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

2019/07/30 by Galise, Giulio, Iacopetti, Alessandro, Leoni, Fabiana
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1907.12985

Abstract

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 \mathbb R^N, and equipped with homogeneous Dirichlet boundary conditions.

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