91 citations · 317 across the 36 of their papers we have counts for
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math.AP2007★ 2 cited
Dirichlet Duality and the Nonlinear Dirichlet Problem
F. Reese Harvey, H. Blaine Lawson
We study the Dirichlet problem for fully nonlinear, degenerate elliptic equations of the form f(Hess, u)=0 on a smoothly bounded domain D in R^n. In our approach the equation is re…
math.DG2007★ 2 cited
Duality of Positive Currents and Plurisubharmonic Functions in Calibrated Geometry
F. Reese Harvey, H. Blaine Lawson
Recently the authors showed that there is a robust potential theory attached to any calibrated manifold (X,ϕ). In particular, on X there exist ϕ-plurisubharmonic functions, ϕ-conve…
math.DG2007★ 2 cited
An Introduction to Potential Theory in Calibrated Geometry
F. Reese Harvey, H. Blaine Lawson
We introduce and study the notion of plurisubharmonic functions in calibrated geometry. These functions generalize the classical plurisubharmonic functions from complex geometry an…