Numerical Evaluation of 2D Ground States

A ground state is defined as the positive radial solution of the multidimensional nonlinear problem −Δu(x)+u(x)−f(u(x))=0, x∈ℝn; lim|x|→∞|u(x)|=0,$\varepsilon \, \propto \,k_ \bot ^{1 - \xi }$ with the function f being either f(u) =a|u|p–1u or f(u) =a|u|pu+b|u|2pu. The numerical evaluation of groun...

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Bibliographic Details
Main Author: Kolkovska Natalia
Format: Article
Language:English
Published: EDP Sciences 2016-01-01
Series:EPJ Web of Conferences
Online Access:http://dx.doi.org/10.1051/epjconf/201610802032

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