1 citations · 1 across the 2 of their papers we have counts for
3 papers
On the Calculus of the Spectrum of the Laplacian for functions in Lens Spaces
Gedeana Pantoja da Silva, Alexandre Casassola Gonçalves, Ferreira da Silva Rafael
We improve a specific method to obtain the dimension of the eigenspaces of the Laplace-Beltrami operator on lens spaces and establish some applications related to the explicit desc…
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…
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…