|
Título:
|
Positive and Free Boundary Solutions to Singular Nonlinear Elliptic Problems with Absorption: An Overview and Open Problems
|
|
Autores:
|
Díaz Díaz, Jesús Ildefonso ;
Hernández, Jesús
|
|
Tipo de documento:
|
texto impreso
|
|
Editorial:
|
Department of Mathematics Texas State University, 2014
|
|
Dimensiones:
|
application/pdf
|
|
Nota general:
|
info:eu-repo/semantics/openAccess
|
|
Idiomas:
|
|
|
Palabras clave:
|
Estado = Publicado
,
Materia = Ciencias: Matemáticas: Ecuaciones diferenciales
,
Tipo = Artículo
|
|
Resumen:
|
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.
|
|
En línea:
|
https://eprints.ucm.es/id/eprint/29472/1/150.pdf
|
