Landesman-Lazer type results for second order Hamilton-Jacobi-Bellman equations

TL;DR

This paper extends classical Landesman-Lazer results to second order Hamilton-Jacobi-Bellman equations, revealing new phenomena and advancing the understanding of such complex differential equations.

Contribution

The paper introduces novel Landesman-Lazer type results specifically for second order Hamilton-Jacobi-Bellman equations, highlighting new phenomena not observed in previous studies.

Findings

Identification of new phenomena in second order HJB equations

Extension of Landesman-Lazer results to a new class of equations

Enhanced understanding of boundary value problems in control theory

Abstract

We extend the classical Landesman-Lazer results to the setting of second order Hamilton-Jacobi-Bellman equations. A number of new phenomena appear.