Existence and classification of solutions for singular 1-Laplacian equations with gradient terms

Antonio J. Martínez Aparicio, Francescantonio Oliva, Francesco Petitta

We study the existence and qualitative properties of non-negative solutions to singular 1-Laplacian problems of the form \begin{equation*} \begin{cases} -Δ_1 u = g(u)|D u| + h(u)f…