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oai:docta.ucm.es:20.500.14352/348752024-09-30T15:58:58Zcom_20.500.14352_14col_20.500.14352_15

Arrieta Algarra, José María Pardo San Gil, Rosa María Rodríguez Bernal, Aníbal 2023-06-19T14:56:22Z 2023-06-19T14:56:22Z 2014 1072-6691 https://hdl.handle.net/20.500.14352/34875 http://ejde.math.txstate.edu/ 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. eng restricted access Localization phenomena in a degenerate logistic equation journal article