RT Journal Article
T1 Positive and Free Boundary Solutions to Singular Nonlinear Elliptic Problems with Absorption: An Overview and Open Problems
A1 Díaz Díaz, Jesús Ildefonso
A1 Hernández, Jesús
AB 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.
PB Department of Mathematics  Texas State University
SN 1072-6691
YR 2014
FD 2014
LK https://hdl.handle.net/20.500.14352/33969
UL https://hdl.handle.net/20.500.14352/33969
LA eng
NO Variational and Topological Methods: Theory, Applications, Numerical Simulations, and Open Problems (2012). Electronic Journal of Differential Equations, Conference 21 (2014)
NO Unión Europea. FP7
NO DGISPI (Spain)
NO UCM
DS Docta Complutense
RD 16 abr 2025