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math.AP2025
Second radial eigenfunctions to a fractional Dirichlet problem and uniqueness for a semilinear equation
Mouhamed Moustapha Fall, Tobias Weth
We analyze the shape of radial second Dirichlet eigenfunctions of fractional Schrödinger type operators of the form in the unit ball in with a nond…
math.AP2025
A new framework for Ljusternik-Schnirelmann theory and its application to planar Choquard equations
Omar Cabrera, Silvia Cingolani, Tobias Weth
We consider the planar logarithmic Choquard equation in the strongly indefinite and possibly degenera…
math.AP2025
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…