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math.AP2023
The fundamental solution of the fractional p-laplacian
Leandro M. Del Pezzo, Alexander Quaas
In this article, we find the fundamental solution of the fractional p-laplacian and use them to prove two different Liouville-type theorems. A non-existence classical Liouville-typ…
math.AP2023
The evolution problem associated with the fractional first eigenvalue
Begoña Barrios, Leandro M. Del Pezzo, Alexander Quaas +1
In this paper we study the evolution problem associated with the first fractional eigenvalue. We prove that the Dirichlet problem with homogeneous boundary condition is well posed…