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 Mλ,Λ− operator, we show the existence of a critical exponent and give bounds for it.
On a class of fully nonlinear elliptic equations in dimension two / Pacella, F.; Stolnicki, D.. - In: JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 0022-0396. - 298:(2021), pp. 463-479. [10.1016/j.jde.2021.07.004]
On a class of fully nonlinear elliptic equations in dimension two
Pacella F.Primo
;Stolnicki D.
2021
Abstract
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 Mλ,Λ− operator, we show the existence of a critical exponent and give bounds for it.File | Dimensione | Formato | |
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