Zobrazeno 1 - 10
of 64
pro vyhledávání: '"De Lira Jorge H."'
Publikováno v:
Analysis and Geometry in Metric Spaces, Vol 10, Iss 1, Pp 31-39 (2022)
Assuming that there exists a translating soliton u∞ with speed C in a domain Ω and with prescribed contact angle on ∂Ω, we prove that a graphical solution to the mean curvature flow with the same prescribed contact angle converges to u∞ + Ct
Externí odkaz:
https://doaj.org/article/eaf81484258d438a8e888a05a7c74dba
Publikováno v:
Analysis and Geometry in Metric Spaces, vol. 10, no. 1, 2022, pp. 31-39
Assuming that there exists a translating soliton $u_\infty$ with speed $C$ in a domain $\Omega$ and with prescribed contact angle on $\partial\Omega$, we prove that a graphical solution to the mean curvature flow with the same prescribed contact angl
Externí odkaz:
http://arxiv.org/abs/2007.03928
Publikováno v:
The Journal of Geometric Analysis 33, 163 (2023)
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 behaviour of entire solitons depends heavily on the curvature of the manifo
Externí odkaz:
http://arxiv.org/abs/2007.02989
Publikováno v:
J. London Math. Soc. 105 (2022), no.1, 308-342
Our work investigates varifolds $\Sigma \subset M$ in a Riemannian manifold, with arbitrary codimension and bounded mean curvature, contained in an open domain $\Omega$. Under mild assumptions on the curvatures of $M$ and on $\partial \Omega$, also a
Externí odkaz:
http://arxiv.org/abs/2004.08946
We prove the existence of horizontal Jenkins-Serrin graphs that are translating solitons of the mean curvature flow in Riemannian product manifolds $M\times\mathbb{R}$. Moreover, we give examples of these graphs in the cases of $\mathbb{R}^3$ and $\m
Externí odkaz:
http://arxiv.org/abs/1901.07224
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 of the boundary where the boundary values explodes either to $+\infty
Externí odkaz:
http://arxiv.org/abs/1806.02414
Autor:
de Lira, Jorge H., Martin, Francisco
In this paper we study solitons invariant with respect to the flow generated by a complete Killing vector field in a ambient Riemannian manifold. A special case occurs when the ambient manifold is the Riemannian product $(\mathbb{R} \times P, {\rm d}
Externí odkaz:
http://arxiv.org/abs/1803.01410
We study the asymptotic Dirichlet problem for Killing graphs with prescribed mean curvature $H$ in warped product manifolds $M\times_\varrho \mathbb{R}$. In the first part of the paper, we prove the existence of Killing graphs with prescribed boundar
Externí odkaz:
http://arxiv.org/abs/1801.04210
The aim of this paper is to introduce a notion of mean curvature flow soliton general enough to encompass target spaces of constant sectional curvature, Riemannian products or, in increasing generality, warped product spaces.
Comment: Some minor
Comment: Some minor
Externí odkaz:
http://arxiv.org/abs/1707.07132
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 analysis on a Killing graph is naturally related to a weighted manifold st
Externí odkaz:
http://arxiv.org/abs/1612.01257