On a class of fully nonlinear elliptic equations in dimension two
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.
- Publication:
-
Journal of Differential Equations
- Pub Date:
- October 2021
- DOI:
- 10.1016/j.jde.2021.07.004
- arXiv:
- arXiv:2101.01428
- Bibcode:
- 2021JDE...298..463P
- Keywords:
-
- 35J60;
- 35B09;
- 34A34;
- Mathematics - Analysis of PDEs;
- 35J60;
- 35B09;
- 34A34
- E-Print:
- 20 pages, 2 figures