On a class of fully nonlinear elliptic equations in dimension two

[摘要] We study existence and asymptotic behavior of radial positive solutions of some fully nonlinear equations involving Pucci's extremal operators in dimension two. In particular we prove the existence of a positive solution of a fully nonlinear version of the Liouville equation in the plane. Moreover for the M-lambda,Lambda(-), operator, we show the existence of a critical exponent and give bounds for it. (C) 2021 Elsevier Inc. All rights reserved.

[发布日期] 2021-10-15

[关键词] Fully nonlinear equations;Asymptotic behavior;Critical exponent