On the Harnack inequality for degenerate and singular elliptic equations with unbounded lower order terms via sliding paraboloids

We use the method of sliding paraboloids to establish a Harnack inequality for linear, degenerate and singular elliptic equation with unbounded lower order terms. The equations we consider include uniformly elliptic equations and linearized Monge-Ampère equations. Our argument allows us to prove the doubling estimate for functions which, at points of large gradient, are solutions of (degenerate and singular) elliptic equations with unbounded drift.


Publication Date:
Jan 26 2017
Date Submitted:
Jun 28 2019
Citation:
Communications in Contemporary Mathematics
20
1
External Resources:




 Record created 2019-06-28, last modified 2019-08-05


Rate this document:

Rate this document:
1
2
3
 
(Not yet reviewed)