186 citations · 1k across the 57 of their papers we have counts for
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math.AP2008★ 16 cited
The Dirichlet problem for the Bellman equation at resonance
Scott N. Armstrong
We generalize the Donsker-Varadhan minimax formula for the principal eigenvalue of a uniformly elliptic operator in nondivergence form to the first principal half-eigenvalue of a f…
math.AP2008★ 68 cited
Principal eigenvalues and an anti-maximum principle for homogeneous fully nonlinear elliptic equations
Scott N. Armstrong
We study the fully nonlinear elliptic equation in a smooth bounded domain , under the assumption the nonlinearity is uniformly elliptic and positively h…