The first Grushin eigenvalue on cartesian product domains

Paolo Luzzini, Luigi Provenzano, Joachim Stubbe

In this paper we consider the first eigenvalue ${\lambda }_1(\Omega )$ of the Grushin operator ${\Delta }_G:={\Delta }_{x_1}+|x_1{|}^{2s}{\Delta }_{x_2}$ with Dirichlet boundary conditions on a bounded domain $\Omega$ of $\mat…