Bi-halfspace and convex hull theorems for translating solitons

F Chini, NM Møller - International Mathematics Research Notices, 2021 - academic.oup.com
While it is well known from examples that no interesting “halfspace theorem” holds for
properly immersed-dimensional self-translating mean curvature flow solitons in Euclidean …

Translating solitons for the inverse mean curvature flow

D Kim, J Pyo - Results in Mathematics, 2019 - Springer
In this paper, we investigate translating solitons for the inverse mean curvature flow (IMCF),
which is a special solution deformed only for translation under the flow. The IMCF has been …

Compact -translating Solitons with Boundary

R López - Mediterranean Journal of Mathematics, 2018 - Springer
A λ λ-translating soliton with density vector vv is a surface\varSigma Σ in Euclidean space R^
3 R 3 whose mean curvature H satisfies 2 H= 2 λ+ ⟨ N, v ⟩ 2 H= 2 λ+⟨ N, v⟩, where N is the …

[HTML][HTML] Rotationally symmetric spacelike translating solitons for the mean curvature flow in Minkowski space

D Kim - Journal of Mathematical Analysis and Applications, 2020 - Elsevier
The rotationally symmetric spacelike translating solitons for the MCF in the Minkowski space
are considered in this paper. To be specific, the complete classification for such translating …

Compact surfaces with boundary with prescribed mean curvature depending on the Gauss map

A Bueno, R López - Annals of Global Analysis and Geometry, 2023 - Springer
Given a C 1 function H defined in the unit sphere S 2, an H-surface M is a surface in the
Euclidean space R 3 whose mean curvature HM satisfies HM (p)= H (N p), p∈ M, where N is …

On the Complete 2-Dimensional λ-Translators with a Second Fundamental form of Constant Length

X Li, R Qiao, Y Liu - Acta Mathematica Scientia, 2020 - Springer
In this article we study the two-dimensional complete λ-translators immersed in the
Euclidean space ℝ 3 and Minkovski space ℝ 1 3. We obtain two classification theorems: one …

Complete 3-dimensional 𝜆-translators in the Minkowski space ℝ41

Z Li, G Wei - Journal of the Mathematical Society of Japan, 2023 - jstage.jst.go.jp
Complete 3-dimensional λ-translators in the Minkowski space R4 Page 1 c⃝2023 The
Mathematical Society of Japan J. Math. Soc. Japan Vol. 75, No. 1 (2023) pp. 119–150 doi …

EXISTENCE AND ASYMPTOTIC BEHAVIOR OF HELICOIDAL TRANSLATING SOLITONS OF THE MEAN CURVATURE FLOW.

D Kim, J Pyo - … & Continuous Dynamical Systems: Series A, 2018 - search.ebscohost.com
Translating soliton is a special solution for the mean curvature flow (MCF) and the parabolic
rescaling model of type II singularities for the MCF. By introducing an appropriate coordinate …

Classification of Lagrangian translators and Lagrangian self-expanders in

Z Li, G Wei - arXiv preprint arXiv:2405.14086, 2024 - arxiv.org
In this paper, we obtain several classification results of $2 $-dimensional complete
Lagrangian translators and lagrangian self-expanders with constant squared norm $|\vec …

The translating soliton equation

R López - m: iv Workshops, 2017 - Springer
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