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
Date: 2021

Abstract

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.

Show full item record

Collections

Files in this item

Tools

Dialnet
Brain
 
Other author's documents

Statistics

Usage Statistics

Citas

Google Scholar
Attribution-NonCommercial-NoDerivatives 4.0 InternacionalExcept where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivatives 4.0 Internacional