6 citations · 15 across the 9 of their papers we have counts for
13 papers
Non-parametric mean curvature flow with prescribed contact angle in Riemannian products
Jean-Baptiste Casteras, Esko Heinonen, Ilkka Holopainen +1
Assuming that there exists a translating soliton with speed in a domain and with prescribed contact angle on , we prove that a graphical solution to t…
Translating solitons over Cartan-Hadamard manifolds
Jean-Baptiste Casteras, Esko Heinonen, Ilkka Holopainen +1
We prove existence results for entire graphical translators of the mean curvature flow (the so-called bowl solitons) on Cartan-Hadamard manifolds. We show that the asymptotic behav…
A barrier principle at infinity for varifolds with bounded mean curvature
Eddygledson Souza Gama, Jorge H. S. de Lira, Luciano Mari +1
Our work investigates varifolds in a Riemannian manifold, with arbitrary codimension and bounded mean curvature, contained in an open domain . Under mild assumption…
Jenkins-Serrin problem for translating horizontal graphs in
Eddygledson S. Gama, Esko Heinonen, Jorge H. de Lira +1
We prove the existence of horizontal Jenkins-Serrin graphs that are translating solitons of the mean curvature flow in Riemannian product manifolds . Moreover, w…
Jenkins-Serrin graphs in
Eddygledson S. Gama, Esko Heinonen, Jorge H. de Lira +1
The so called Jenkins-Serrin problem is a kind of Dirichlet problem for graphs with prescribed mean curvature that combines, at the same time, continuous boundary data with regions…
Height estimates for Killing graphs
Debora Impera, Jorge H. de Lira, Stefano Pigola +1
The paper aims at proving global height estimates for Killing graphs defined over a complete manifold with nonempty boundary. To this end, we first point out how the geometric anal…
Curvature estimates for submanifolds immersed into horoballs and horocylinders
G. Pacelli Bessa, Jorge H. de Lira, Stefano Pigola +1
We prove mean curvature estimates and a Jorge-Koutroufiotis type theorem for submanifolds confined into either a horocylinder of N X L or a horoball of N, where N is a Cartan-Hadam…
Comparison principle, stochastic completeness and half-space theorems
G. Pacelli Bessa, Jorge H. de Lira, Adriano A. Medeiros
We present a criterion for the stochastic completeness of a submanifold in terms of its distance to a hypersurface in the ambient space. This relies in a suitable version of the He…
Existence of nonparametric solutions for a capillary problem in warped products
Jorge H. S. Lira, Gabriela A. Wanderley
We prove that there exist solutions for a non-parametric capillary problem in a wide class of Riemannian manifolds endowed with a Killing vector field. In other terms, we prove the…
Entire bounded constant mean curvature Killing graphs
M. Dajczer, J. H. de Lira
We show that under certain curvature conditions of the ambient space an entire Killing graph of constant mean curvature lying inside a slab must be a totally geodesic slice.
A note on the area and coarea formulas for general volume densities and some applications
Daniel Cibotaru, Jorge de Lira
We present the area and coarea formulas for Lipschitz maps, valid for general volume densities. As applications, we give a short, "euclidean" proof of the anisotropic Sobolev inequ…
An interior gradient estimate for the mean curvature equation of Killing graphs and applications
Marcos Dajczer, Jorge H. Lira, Jaime Ripoll
We extend the interior gradient estimate due to N. Korevaar and L. Simon for solutions of the mean curvature equation from the case of Euclidean graphs to the general case of Killi…
The Dirichlet Problem for Curvature Equations in Riemannian Manifolds
Jorge H. S. de Lira, Flávio F. Cruz
We prove the existence of classical solutions to the Dirichlet problem for a class of fully nonlinear elliptic equations of curvature type on Riemannian manifolds. We also derive n…