RT Journal Article
T1 Localization phenomena in a degenerate logistic equation
A1 Arrieta Algarra, José María
A1 Pardo San Gil, Rosa María
A1 Rodríguez Bernal, Aníbal
AB We analyze the behavior of positive solutions of elliptic equations with a degenerate logistic nonlinearity and Dirichlet boundary conditions. Our results concern existence and strong localization in the spatial region in which the logistic nonlinearity cancels. This type of nonlinearity has applications in the nonlinear Schrodinger equation and the study of Bose–Einstein condensates. In this context, our analysis explains the fact that the ground state presents a strong localization in the spatial region in which the nonlinearity cancels.
PB Department of Mathematics  Texas State University
SN 1072-6691
YR 2014
FD 2014
LK https://hdl.handle.net/20.500.14352/34875
UL https://hdl.handle.net/20.500.14352/34875
LA eng
NO Variational and Topological Methods: Theory, Applications, Numerical Simulations, and Open Problems (2012)
NO Grupo de Investigación CADEDIF, Spain
NO Grupo 920894 BSCH-UCM
NO GR35/10-A
DS Docta Complutense
RD 11 abr 2025