47 citations · 138 across the 25 of their papers we have counts for
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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…
Existence and multiplicity for elliptic problems with quadratic growth in the gradient
Louis Jeanjean, Boyan Sirakov
We show that a class of divergence-form elliptic problems with quadratic growth in the gradient and non-coercive zero order terms are solvable, under essentially optimal hypotheses…
Nonexistence of positive supersolutions of elliptic equations via the maximum principle
Scott N. Armstrong, Boyan Sirakov
We introduce a new method for proving the nonexistence of positive supersolutions of elliptic inequalities in unbounded domains of . The simplicity and robustness of…
Sharp Liouville results for fully nonlinear equations with power-growth nonlinearities
Scott N. Armstrong, Boyan Sirakov
We study fully nonlinear elliptic equations such as \[ F(D^2u) = u^p, \quad p>1, \] in or in exterior domains, where is any uniformly elliptic, positively homogeneous op…