4 citations · 5 across the 3 of their papers we have counts for
6 papers
A definitive majorization result for nonlinear operators
F. Reese Harvey, H. Blaine Lawson
Let be a Garding-Dirichlet operator on the set S(n) of symmetric matrices. We assume that is -central, that is, $D_I {\mathfrak g} =…
Interplay between nonlinear potential theory and fully nonlinear elliptic PDEs
F. Reese Harvey, Kevin R. Payne
We discuss one of the many topics that illustrate the interaction of Blaine Lawson's deep geometric and analytic insights. The first author is extremely grateful to have had the pl…
Comparison principles by monotonicity and duality for constant coefficient nonlinear potential theory and PDEs
Marco Cirant, F. Reese Harvey, H. Blaine Lawson +1
We prove comparison principles for nonlinear potential theories in euclidian spaces in a very straightforward manner from duality and monotonicity. We shall also show how to deduce…
The Richberg technique for subsolutions
F. Reese Harvey, H. Blaine Lawson, Szymon Pliś
This note adapts the sophisticated Richberg technique for approximation in pluripotential theory to the -potential theory associated to a general nonlinear convex subequation $F…
Pseudoconvexity for the Special Lagrangian Potential Equation
F. Reese Harvey, H. Blaine Lawson
The Special Lagrangian Potential Equation for a function on a domain is given by for a contant $θ\in (-n {π\over 2}, n…
A generalization of pde's from a Krylov point of view
F. Reese Harvey, H. Blaine Lawson
We introduce and investigate the notion of a `generalized equation' of the form , based on the notions of subequations and Dirichlet duality. Precisely, a subset ${\mat…