2 papers
math.AP2022
On the Harnack inequality for antisymmetric -harmonic functions
Serena Dipierro, Jack Thompson, Enrico Valdinoci
We prove the Harnack inequality for antisymmetric -harmonic functions, and more generally for solutions of fractional equations with zero-th order terms, in a general domain. Th…
math.AP2022
The role of antisymmetric functions in nonlocal equations
Serena Dipierro, Giorgio Poggesi, Jack Thompson +1
We prove a Hopf-type lemma for antisymmetric super-solutions to the Dirichlet problem for the fractional Laplacian with zero-th order terms. As an application, we use such a Hopf-t…