296 citations
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Showing 2010 · math.APShow all
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math.AP2010
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.
math.AP2010★ 1 cited
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…
math.AP2010
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…