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

Latorre, Marta; Oliva, Francescantonio; Petitta, Francesco; Segura de León, Sergio
URI: https://hdl.handle.net/10115/31914
DOI: 10.1088/1361-6544/abc65b
Datum: 2021

Zusammenfassung

We 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.

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