most citedInstability results for an elliptic equation on compact Riemannian manifolds with non-negative Ricci curvature

1 citations · 1 across the 2 of their papers we have counts for

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2 papers

math.AP2010

The effect of curvature and symmetry on stable stationary solutions in convex domains

Arnaldo Simal do Nascimento

We address the question of existence of nonconstant stable stationary solution to the heat equation on a class of convex domains subject to nonlinear boundary flux involving a posi…

math.DG2008★ 1 cited

Instability results for an elliptic equation on compact Riemannian manifolds with non-negative Ricci curvature

Arnaldo Nascimento, Alexandre Gonçalves

We prove nonexistence of nonconstant local minimizers for a class of functionals, which typically appears in the scalar two-phase field model, over a smooth N-dimensional Riemannia…