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

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Díaz Díaz, Jesús Ildefonso y Hernández, Jesús (2014) Positive and Free Boundary Solutions to Singular Nonlinear Elliptic Problems with Absorption: An Overview and Open Problems. Electronic Journal of Differential Equations. Conference (21). pp. 31-44. ISSN 1072-6691

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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.


Tipo de documento:Artículo
Información Adicional:

Variational and Topological Methods: Theory, Applications, Numerical Simulations, and Open Problems (2012). Electronic Journal of Differential Equations, Conference 21 (2014)

Palabras clave:Singular nonlinearity; positive solution; compact support solutions;free boundary problem; multiplicity; energy methods; absorption; multivalued graph.
Materias:Ciencias > Matemáticas > Ecuaciones diferenciales
Código ID:29472
Depositado:14 Abr 2015 12:34
Última Modificación:21 Abr 2015 07:38

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