Title of article :
Existence and nonexistence of patterns on Riemannian manifolds
Author/Authors :
Bandle، نويسنده , , Catherine and Punzo، نويسنده , , Fabio and Tesei، نويسنده , , Alberto، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2012
Abstract :
We study existence and nonexistence of patterns on Riemannian manifolds, depending on the Ricci curvature of the manifold and suitable assumptions on the boundary. In the case of surfaces of revolutions in R 3 , necessary and sufficient conditions for existence of patterns are given.
Keywords :
Semilinear parabolic problem , Eigenvalue Problem , Ricci curvature , Surfaces of revolutions , Stable solutions
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications
