Elliptic equations involving the 1--Laplacian and a total variation term with $L^{N,\infty }$--data

M. Latorre, S. Segura de León

In this paper we study, in an open bounded set $\Omega \subset {\mathbb{R}}^N$ with Lipschitz boundary $\partial \Omega$, the Dirichlet problem for a nonlinear singular elliptic equation involving…