Direct and indirect approximations to positive solution for a nonlinear reaction-diffusion problem. I. Direct (variational)

We consider a nonlinear, second-order, two-point boundary value problem that models some reaction-diffusion precesses. When the reaction term has a particular form, \(f(u)=u^{3}\), the problem has a unique positive solution that satisfies a conserved integral condition. We study the bifurcation of t...

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Bibliographic Details
Main Authors: Călin-Ioan Gheorghiu, Damian Trif
Format: Article
Language:English
Published: Publishing House of the Romanian Academy 2002-02-01
Series:Journal of Numerical Analysis and Approximation Theory
Subjects:
Online Access:https://ictp.acad.ro/jnaat/journal/article/view/709