Measure Upper Bounds for Nodal Sets of Eigenfunctions of the bi-Harmonic Operator

Long Tian, Xiaoping Yang

In this article, we consider eigenfunctions $u$ of the bi-harmonic operator, i.e., ${△}^{2}u={\lambda }^{2}u$ on $\Omega$ with some homogeneous linear boundary conditions. We assume that $Ω\su…