8 papers · 1 filter
-harmonic functions in the small order limit
Sven Jarohs, Abhrojyoti Sen, Tobias Weth
We study families of functions satisfying the equations , in a smooth bounded open set . The main purpose of this paper i…
On a class of (non)local superposition operators of arbitrary order
Serena Dipierro, Sven Jarohs, Enrico Valdinoci
In this paper we introduce a very general setting dealing with the superposition of operators of any positive order and provide a systematic study of them. We also provide examples…
The Dirichlet Problem For the Logarithmic p-Laplacian
BartÅomiej Dyda, Sven Jarohs, Firoj Sk
We introduce and study the logarithmic -Laplacian , which emerges from the formal derivative of the fractional -Laplacian at . This operator is non…
On overdetermind problems for a general class of nonlocal operators
Anup Biswas, Sven Jarohs
We study the overdetermined problem for a large family of non-local operators given by generators of subordinate Brownian motions. In particular, this family includes the fractiona…
Overdetermined problems with fractional Laplacian
Mouhamed Moustapha Fall, Sven Jarohs
Let and . In the present work we characterize bounded open sets with boundary (\textit{not necessarily connected}) for which the following overdet…
Continuity of solutions to equations with weakly singular nonlocal operators
Sven Jarohs, Moritz Kassmann, Tobias Weth
We prove boundedness and regularity estimates for weak solutions to a class of linear nonlocal equations involving integro-differential operators with almost no order of differenti…