%0 Journal Article
%T Sufficient conditions on diffusivity for the existence and nonexistence of stable equilibria with nonlinear flux on the boundary
%A Janete Crema
%A Arnaldo Simal do Nascimento
%A Maicon Sonego
%J Electronic Journal of Differential Equations
%D 2012
%I Texas State University
%X 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 main result of nonexistence.
%K Reaction-diffusion equation
%K stable stationary solutions
%K variable diffusivity
%K implicit function theorem
%U http://ejde.math.txstate.edu/Volumes/2012/62/abstr.html