First Dirichlet eigenvalue of the weighted 1-Laplacian operator

R. Barbato, J. C. Sabina de Lis, S. Segura de León

In this paper, we study the eigenvalue problem \[\left\{\begin{array}{cl}-\hbox{div}\left(a(x)\frac{Du}{|Du|}\right)=Λ\, b(x)\frac{u}{|u|} & \text{in }Ω\\u=0 & \text{on }\partialΩ,…