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20082024
most citedInstability results for an elliptic equation on compact Riemannian manifolds with non-negative Ricci curvature

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math.DG2015

Holomorphic triples and the prescribed curvature problem on

Alexandre C. Gonçalves

We prove new results on existence of solutions for the prescribed gaussian curvature problem on the euclidean sphere S^2. Those results are achieved by relating this problem with t…

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…