Principal Eigenvalue of Mixed Problem for the Fractional Laplacian: Moving the Boundary Conditions

Tommaso Leonori, Maria Medina, Ireneo Peral +2

We analyze the behavior of the eigenvalues of the following non local mixed problem $\left\{ \begin{array}{rcll} (-Δ)^{s} u &=& λ_1(D) \ u &\innΩ,\\ u&=&0&\inn D,\\ \mathcal{N}_{s}…