4 papers
A priori estimates and exact solvability for non-coercive stochastic control equations
Maria LuÃsa Pasinato, Boyan Sirakov
We establish, for the first time, explicit a priori and regularity estimates for solutions of the Dirichlet problem for Hamilton-Jacobi-Bellman operators from stochastic control, w…
Keller-Osserman and Harnack type results for nonlinear elliptic PDE with unbounded ingredients
Boyan Sirakov, Aelson Sobral
We show that the classical Keller-Osserman theorem on the solvability of the equation is valid when is a general operator in divergence form w…
Hopf-Oleinik lemma for elliptic equations in double divergence form
Hongjie Dong, Seick Kim, Boyan Sirakov
We establish, for the first time, a Zaremba-Hopf-Oleinik type boundary point lemma for uniformly elliptic partial differential equations in double divergence form, also known as st…
Elliptic regularity estimates with optimized constants and applications
Boyan Sirakov, Philippe Souplet
We revisit the classical theory of linear second-order uniformly elliptic equations in divergence form whose solutions have Hölder continuous gradients, and prove versions of the…