The Dirichlet problem for the 1-Laplacian with a general singular term and L^1-data

Latorre, MartaOliva, FrancescantonioPetitta, FrancescoSegura de León, Sergio2024-04-032024-04-032021] M. Latorre, F. Oliva, F. Petitta, S. Segura de León, The Dirichlet problem for the 1-Laplacian with a general singular term and L1-data, Nonlinearity 34 (3) (2021) 1791–1816.https://hdl.handle.net/10115/31914We study the Dirichlet problem for an elliptic equation involving the 1-Laplace operator and a reaction term, -\Delta_1 u =h(u)f(x), where f is nonnegative and h is a continuous real function that may possibly blow up at zero. We investigate optimal ranges for the data in order to obtain existence, nonexistence and (whenever expected) uniqueness of nonnegative solutions.engAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/1-Laplaciannonlinear elliptic equationssingular elliptic equationsThe Dirichlet problem for the 1-Laplacian with a general singular term and L^1-datainfo:eu-repo/semantics/article10.1088/1361-6544/abc65binfo:eu-repo/semantics/openAccess