Minimization and Steiner symmetry of the first eigenvalue for a fractional eigenvalue problem with indefinite weight

Claudia Anedda, Fabrizio Cuccu, Silvia Frassu

Let $\Omega \subset {\mathbb{R}}^N$, $N\ge 2$, be an open bounded connected set. We consider the fractional weighted eigenvalue problem $(-\Delta {)}^{s}u=\lambda \rho u$ in $\Omega$ with homogeneous Dirichlet bo…