4 citations · 7 across the 5 of their papers we have counts for
5 papers · 1 filter
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…
On viscosity solutions to the Dirichlet problem for elliptic branches of nonhomogeneous fully nonlinear equations
Marco Cirant, Kevin R. Payne
For scalar fully nonlinear partial differential equations depending on the Hessian andspatial coordinates, we present a general theory for obtaining comparison principles and well…