Necessary and sufficient conditions on existence of radial solutions for exterior Dirichlet problem of fully nonlinear elliptic equations

2022/06/18 by Limei Dai, Jiguang Bao, Dai, Limei +3
Mathematics · Computer Science · #Nonlinear Partial Differential Equations #Advanced Mathematical Modeling in Engineering #Differential Equations and Boundary Problems

paper · pdf · doi:10.48550/arxiv.2206.09095

Abstract

In this paper, we study the exterior Dirichlet problem for the fully nonlinear elliptic equation f(λ(D²u))=1. We obtain the necessary and sufficient conditions of existence of radial solutions with prescribed asymptotic behavior at infinity.

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