Sufficient conditions on diffusivity for the existence and nonexistence of stable equilibria with nonlinear flux on the boundary

A reaction-diffusion equation with variable diffusivity and nonlinear flux boundary condition is considered. The goal is to give sufficient conditions on the diffusivity function for nonexistence and also for existence of nonconstant stable stationary solutions. Applications are given for the ma...

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Bibliographic Details
Main Authors: Janete Crema, Arnaldo Simal do Nascimento, Maicon Sonego
Format: Article
Language:English
Published: Texas State University 2012-04-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2012/62/abstr.html