9 papers
-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…
FEM for 1D-problems involving the logarithmic Laplacian: error estimates and numerical implementation
VÃctor Hernández-SantamarÃa, Sven Jarohs, Alberto Saldaña +1
We present the numerical analysis of a finite element method (FEM) for one-dimensional Dirichlet problems involving the logarithmic Laplacian (the pseudo-differential operator that…