4 citations · 11 across the 7 of their papers we have counts for
7 papers
Comparison principles for nonlinear potential theories and PDEs with fiberegularity and sufficient monotonicity
Marco Cirant, Kevin R. Payne, Davide F. Redaelli
We present some recent advances in the productive and symbiotic interplay between general potential theories (subharmonic functions associated to closed subsets $\mathcal{F} \subse…
A primer on semiconvex functions in general potential theories
Kevin R. Payne, Davide Francesco Redaelli
This work is dedicated to foundational aspects of general (nonlinear second order) potential theories and fully nonlinear elliptic PDEs. In particular, we systematically develop th…
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…
Comparison principles for viscosity solutions of elliptic branches of fully nonlinear equations independent of the gradient
Marco Cirant, Kevin R. Payne
The validity of the comparison principle in variable coefficient fully nonlinear gradient free potential theory is examined and then used to prove the comparison principle for full…
Principal eigenvalues for k-Hessian operators by maximum principle methods
Isabeau Birindelli, Kevin R. Payne
For fully nonlinear -Hessian operators on bounded strictly -convex domains in , a characterization of the principal eigenvalue associated to a -conv…