8 citations · 10 across the 3 of their papers we have counts for
4 papers
A new approach to Liouville theorems for elliptic inequalities
Scott N. Armstrong, Boyan Sirakov
In this article we review a new method for proving the nonexistence of positive solutions of elliptic inequalities in unbounded domains in $\rn$, which was recently introduced by t…
Landesman-Lazer type results for second order Hamilton-Jacobi-Bellman equations
Patricio Felmer, Alexander Quaas, Boyan Sirakov
We extend the classical Landesman-Lazer results to the setting of second order Hamilton-Jacobi-Bellman equations. A number of new phenomena appear.
Resonance phenomena for second-order stochastic control equations
Patricio Felmer, Alexander Quaas, Boyan Sirakov
We study the existence and the properties of solutions to the Dirichlet problem for uniformly elliptic second-order Hamilton-Jacobi-Bellman operators, depending on the principal ei…
Fundamental solutions of homogeneous fully nonlinear elliptic equations
Scott N. Armstrong, Boyan Sirakov, Charles K. Smart
We prove the existence of two fundamental solutions and of the PDE \[ F(D^2Φ) = 0 \quad {in} \mathbb{R}^n \setminus \{0 \} \] for any positively homogeneous, uniform…