Instability of elliptic equations on compact Riemannian manifolds with non-negative Ricci curvature

Instability of elliptic equations on compact Riemannian manifolds with non-negative Ricci curvature

We prove the nonexistence of nonconstant local minimizers for a class of functionals, which typically appear in scalar two-phase field models, over smooth N-dimensional Riemannian manifolds without boundary and non-negative Ricci curvature. Conversely, for a class of surfaces possessing a simpl...

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Bibliographic Details
Main Authors: Arnaldo S. Nascimento, Alexandre C. Goncalves
Format: Article
Language:English
Published: Texas State University 2010-05-01
Series:Electronic Journal of Differential Equations
Subjects:
Riemannian manifold
Ricci curvature
local minimizer
Gamma-convergence
reaction-diffusion equations
Online Access:http://ejde.math.txstate.edu/Volumes/2010/67/abstr.html

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http://ejde.math.txstate.edu/Volumes/2010/67/abstr.html

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