The Dirichlet problem for the 1-Laplacian with a general singular term and L^1-data
| dc.contributor.author | Latorre, Marta | |
| dc.contributor.author | Oliva, Francescantonio | |
| dc.contributor.author | Petitta, Francesco | |
| dc.contributor.author | Segura de León, Sergio | |
| dc.date.accessioned | 2024-04-03T06:30:48Z | |
| dc.date.available | 2024-04-03T06:30:48Z | |
| dc.date.issued | 2021 | |
| dc.description.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. | es |
| dc.identifier.citation | ] 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. | es |
| dc.identifier.doi | 10.1088/1361-6544/abc65b | es |
| dc.identifier.uri | https://hdl.handle.net/10115/31914 | |
| dc.language.iso | eng | es |
| dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
| dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
| dc.subject | 1-Laplacian | es |
| dc.subject | nonlinear elliptic equations | es |
| dc.subject | singular elliptic equations | es |
| dc.title | The Dirichlet problem for the 1-Laplacian with a general singular term and L^1-data | es |
| dc.type | info:eu-repo/semantics/article | es |