On principal eigenpairs for the (p,q)-Laplacian in exterior domain

Maya Chhetri, Pavel Drabek, Ratnasingham Shivaji

We consider an eigenvalue problem of the form \begin{equation*} \left\{\begin{array}{rclll} -Δ_{p} u -Δ_{q} u&=& λK(x)|u|^{p-2}u & \mbox{ in } Ω^e u&=&0\qquad \quad &\mbox{ on…