2 citations · 2 across the 5 of their papers we have counts for
5 papers · 1 filter
Semilinear overdetermined problems, a divergence formula, and geometric inequalities
Benedito Leandro, Ilton Menezes, Rafael Novais
Considering an -dimensional compact Riemannian manifold with a boundary that satisfies a Serrin-type problem, we prove sharp upper and lower bounds for the area of such a bounda…
Solution for the Einstein-Maxwell equations invariant under an -dimensional group of dilations
Benedito Leandro, Ilton Menezes, Rafael Novais
We consider an electrostatic system whose spatial factor is conformal to an -dimensional Euclidean space. We provide a complete characterization of the most general ansatz, ther…
Rotational Solitons for the Curve Shortening Flow on Revolution Surfaces
Hiuri dos Reis, Benedito Leandro, Rafael Novais
We present a characterization for the rotational soliton for the curve shortening flow (CSF) on the revolution surfaces of . Furthermore, we describe the behavior of…
Self-similar solutions to the mean curvature flow in
Benedito Leandro, Rafael Novais, Hiuri F. S. dos Reis
In this paper we make an analysis of self-similar solutions for the mean curvature flow (MCF) by surfaces of revolution and ruled surfaces in . We prove that self-s…
Intrinsic and extrinsic geometry of hypersurfaces in and
Rafael Novais, João Paulo dos Santos
In this paper, geometric characterizations of conformally flat and radially flat hypersurfaces in and are given by…