Geodesic
Sufficient conditions on diffusivity for the existence and nonexistence of stable equilibria with nonlinear flux on the boundary
Electronic Journal of Differential Equations, Tome 2012 (2012).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Classification : 35J25, 35B35, 35B36
Keywords: reaction-diffusion equation, stable stationary solutions, variable diffusivity, implicit function theorem 
@article{EJDE_2012__2012__a41,
     author = {Crema, Janete and Do Nascimento, Arnaldo Simal and Sonego, Maicon},
     title = {Sufficient conditions on diffusivity for the existence and nonexistence of stable equilibria with nonlinear flux on the boundary},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2012},
     year = {2012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a41/}
}
TY  - JOUR
AU  - Crema, Janete
AU  - Do Nascimento, Arnaldo Simal
AU  - Sonego, Maicon
TI  - Sufficient conditions on diffusivity for the existence and nonexistence of stable equilibria with nonlinear flux on the boundary
JO  - Electronic Journal of Differential Equations
PY  - 2012
VL  - 2012
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a41/
LA  - en
ID  - EJDE_2012__2012__a41
ER  - 
%0 Journal Article
%A Crema, Janete
%A Do Nascimento, Arnaldo Simal
%A Sonego, Maicon
%T Sufficient conditions on diffusivity for the existence and nonexistence of stable equilibria with nonlinear flux on the boundary
%J Electronic Journal of Differential Equations
%D 2012
%V 2012
%I mathdoc
%U http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a41/
%G en
%F EJDE_2012__2012__a41
Crema, Janete; Do Nascimento, Arnaldo Simal; Sonego, Maicon. Sufficient conditions on diffusivity for the existence and nonexistence of stable equilibria with nonlinear flux on the boundary. Electronic Journal of Differential Equations, Tome 2012 (2012). http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a41/