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.
2021
Asymptotic behavior; critical exponent; fully nonlinear equations
01 Pubblicazione su rivista::01a Articolo in rivista
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]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1598865
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