Homogeneous solutions of extremal Pucci's equations in planar cones

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:263

Article

Leoni, Fabiana¹ 

[1] Sapienza Univ Roma, Dipartimento Matemat, Ple Aldo Moro 2, I-00185 Rome, Italy

关键词: Fully nonlinear elliptic equations;    Pucci's extremal operators;    Homogeneous solutions;    Cones;   

DOI  :  10.1016/j.jde.2017.03.004

来源: Elsevier

【 摘 要 】

We derive explicit expressions of the homogeneous solutions with constant sign in two dimensional cones for Pucci's extremal equations. As examples of possible applications, we obtain monotonicity formulas for all nonnegative supersolutions and necessary and sufficient explicit conditions for non-existence results of Liouville type. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free