Payne nodal set conjecture for the fractional $p$-Laplacian in Steiner symmetric domains

Vladimir Bobkov, Sergey Kolonitskii

Let $u$ be either a second eigenfunction of the fractional $p$-Laplacian or a least energy nodal solution of the equation $(-\Delta {)}_p^{s}u=f(u)$ with superhomogeneous and subcritic…