91 citations · 317 across the 36 of their papers we have counts for
50 papers
Duality for Garding operators and a new inequality of GM/AM type
F. Reese Harvey, H. Blaine Lawson
This article concerns Garding Dirichlet operators, and also the theory of Garding polynomials. Garding Dirichlet operators are those which arise from homogeneous polynomials on the…
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} =…
Determinant majorization and the work of Guo-Phong-Tong and Abja-Olive
F. Reese Harvey, H. Blaine Lawson
The objective of this note is to establish the Determinant Majorization Formula for all operators determined by an invariant Garding-D…
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…
Double transgressions and Bott-Chern duality
Daniel Cibotaru, Vincent Grandjean, Blaine Lawson
We present a general framework for obtaining currential double transgression formulas on complex manifolds which can be seen as manifestations of Bott-Chern Duality. These results…