Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4609425 | Journal of Differential Equations | 2016 | 25 Pages |
Abstract
We prove some Liouville properties for sub- and supersolutions of fully nonlinear degenerate elliptic equations in the whole space. Our assumptions allow the coefficients of the first order terms to be large at infinity, provided they have an appropriate sign, as in Ornstein–Uhlenbeck operators. We give two applications. The first is a stabilization property for large times of solutions to fully nonlinear parabolic equations. The second is the solvability of an ergodic Hamilton–Jacobi–Bellman equation that identifies a unique critical value of the operator.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Martino Bardi, Annalisa Cesaroni,