Entire Subsolutions Of Fully Nonlinear Degenerate Elliptic Equations
by Italo Capuzzo Dolcetta   Fabiana Leoni   Antonio Vitolo  

Vol. 9 No. 2 (2014) P.147~P.162

ABSTRACT

We prove existence and non existence results for fully nonlinear degenerate elliptic inequalities, by showing that the classical Keller--Osserman condition on the zero order term is a necessary and sufficient condition for the existence of entire sub solutions.

KEYWORDS
fully nonlinear, degenerate elliptic, entire viscosity solutions, Keller-Ossermann condition

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 35J60

MILESTONES

Received: 2013-06-14
Revised : 2013-10-10
Accepted: 2013-10-10

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