47 citations · 138 across the 25 of their papers we have counts for
34 papers
Sharp gradient bounds for uniformly elliptic PDE, eigenvalue asymptotics, and the Landis conjecture
Boyan Sirakov, Philippe Souplet
We study three classical problems in the theory of linear second-order uniformly elliptic equations: (i) gradient estimates for the Dirichlet problem, (ii) estimates and asymptotic…
Differential Harnack inequalities and maximum principles of Morel-Oswald type for elliptic PDE in divergence form
Philippe Souplet, Boyan Sirakov
This paper presents two types of novel, qualitative and quantitative, estimates for positive solutions of general uniformly elliptic PDEs in divergence form. First, we prove a More…
A priori estimates and exact solvability for non-coercive stochastic control equations
Maria Luísa 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 g…