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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Podrobná bibliografie

Hlavní autoři:	Arnaldo S. Nascimento, Alexandre C. Goncalves
Médium:	Artigo
Jazyk:	Inglês
Vydáno:	Texas State University 2010-05-01
Edice:	Electronic Journal of Differential Equations
Témata:	Riemannian manifold Ricci curvature local minimizer Gamma-convergence reaction-diffusion equations
On-line přístup:	http://ejde.math.txstate.edu/Volumes/2010/67/abstr.html
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