3 papers
math.AP2020
Semilinear equations for non-local operators: beyond the fractional Laplacian
Ivan Biočić, Zoran Vondraček, Vanja Wagner
We study semilinear problems in general bounded open sets for non-local operators with exterior and boundary conditions. The operators are more general than the fractional Laplacia…
math.AP2018
Nonlocal quadratic forms with visibility constraint
Moritz Kassmann, Vanja Wagner
Given a subset of the Euclidean space, we study nonlocal quadratic forms that take into account tuples if and only if the line segment between and $y…
math.FA2018
A note on the trace theorem for Besov-type spaces of generalized smoothness on -sets
Vanja Wagner
The main goal of this paper is to give a complete proof of the trace theorem for Besov-type spaces of generalized smoothness associated with complete Bernstein functions satisfying…