4 papers
Carleson-type removability for -parabolic equations
Michał Borowski, Theo Elenius, Leah Schätzler +1
We characterize removable sets for Hölder continuous solutions to degenerate parabolic equations of -growth. A sufficient and necessary condition for a set to be removable is gi…
Boundary regularity for a fully nonlinear free transmission problem
David Jesus, Edgard A. Pimentel, David Stolnicki
We examine boundary regularity for a fully nonlinear free transmission problem. We argue using approximation methods, comparing the operators driving the problem with a limiting pr…
Differentiability of solutions for a degenerate fully nonlinear free transmission problem
Edgard A. Pimentel, David Stolnicki
We study a fully nonlinear free transmission problem in the presence of general degeneracy laws. Under minimal conditions on the degeneracy of the model, we establish the different…
On a class of fully nonlinear elliptic equation in dimension two
Filomena Pacella, David Stolnicki
We study existence and asymptotic behavior of radial positive solutions of some fully nonlinear equations involving Pucci's extremal operators in dimension two. In particular we pr…