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math.AP2024
The Calderón problem for the logarithmic Schrödinger equation
Bastian Harrach, Yi-Hsuan Lin, Tobias Weth
We study the Calderón problem for a logarithmic Schrödinger type operator of the form , where denotes the logarithmic Laplacian, which arises as formal derivative $\f…
math.AP2024
On a fractional boundary version of Talenti's inequality in the unit ball
Yassin El Karrouchi, Tobias Weth
Inspired by recent work of Ferone and Volzone arXiv:2007.13195, we derive sufficient conditions for the validity and non-validity of a boundary version of Talenti's comparison prin…
math.AP2024
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 nondec…