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oai:docta.ucm.es:20.500.14352/339692023-08-26T05:29:44Zcom_20.500.14352_14col_20.500.14352_15

Díaz Díaz, Jesús Ildefonso Hernández, Jesús 2023-06-19T13:32:23Z 2023-06-19T13:32:23Z 2014 1072-6691 https://hdl.handle.net/20.500.14352/33969 http://ejde.math.txstate.edu We give a survey of recent results and open problems concerning existence and multiplicity of positive and/or compact support solutions to some semilinear elliptic equations with singular nonlinear terms of absorption type. This includes the case of discontinuous (at the origin) nonlinearities, which is treated by introducing maximal monotone graphs. Extensions to the p-Laplacian are also considered. The one-dimensional case is studied by using energy methods. eng open access Positive and Free Boundary Solutions to Singular Nonlinear Elliptic Problems with Absorption: An Overview and Open Problems journal article