Positive and Free Boundary Solutions to Singular Nonlinear Elliptic Problems with Absorption: An Overview and Open Problems

Autor:	Díaz Díaz, Jesús Ildefonso, Hernández, Jesús
Rok vydání:	2014
Předmět:	Ecuaciones diferenciales
Zdroj:	E-Prints Complutense: Archivo Institucional de la UCM Universidad Complutense de Madrid E-Prints Complutense. Archivo Institucional de la UCM instname
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::39e970aa8e5371e7c76d4f0155ab49e9 https://eprints.ucm.es/id/eprint/29472/1/150.pdf Zobrazit plný text záznamu