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 $(-\Delta {)}^s+V$ in the unit ball $B$ in ${\mathbb{R}}^N$ with a nondec…