4 papers
Modified mean curvature flow of graphs in Riemannian manifolds
Jocel Faustino Norberto de Oliveira, Jorge Herbert Soares de Lira, Matheus Nunes Soares
We obtain height, gradient, and curvature a priori estimates for a modified mean curvature flow in Riemannian manifolds endowed with a Killing vector field. As a consequence, we pr…
A Liouville-type theorem for the p-Laplacian on complete non-compact Riemannian manifolds
Matheus Nunes Soares, Fábio Reis dos Santos
A Liouville-type result for the p-Laplacian on complete Riemannian manifolds is proved. As an application are present some results concerning complete non-compact hypersurfaces imm…
A remark on the first eigenvalue of the p-Laplacian on compact submanifolds in the unit sphere
Matheus Nunes Soares, Fábio Reis dos Santos
An integral inequality for the singular p-laplacian is established for 3/2<p<2. As consequence, lower bounds for the first eigenvalue of the p-laplacian are obtained for minimal su…
Optimal lower estimate for the first eigenvalue of the p-Laplacian
Matheus Nunes Soares, Fábio Reis do Santos
An integral inequality is derived for compact submanifolds (with or without boundary) in the unit sphere. This result leads to a characterization of spheres.