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

dc.contributor.authorLatorre, Marta
dc.contributor.authorOliva, Francescantonio
dc.contributor.authorPetitta, Francesco
dc.contributor.authorSegura de León, Sergio
dc.date.accessioned2024-04-03T06:30:48Z
dc.date.available2024-04-03T06:30:48Z
dc.date.issued2021
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.urihttps://hdl.handle.net/10115/31914
dc.description.abstractWe 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.language.isoenges
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subject1-Laplacianes
dc.subjectnonlinear elliptic equationses
dc.subjectsingular elliptic equationses
dc.titleThe Dirichlet problem for the 1-Laplacian with a general singular term and L^1-dataes
dc.typeinfo:eu-repo/semantics/articlees
dc.identifier.doi10.1088/1361-6544/abc65bes
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses


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