Results 11 to 20 of about 134 (57)
A rigidity theorem of self-expander
, 2023 In this paper, we completely classify $3$-dimensional complete self-expanders with constant norm $S$ of the second fundamental form and constant $f_{3}$ in Euclidean space $\mathbb R^{4}$, where $h_{ij}$ are components of the second fundamental form, $S=\
Li, Zhi, Wei, Guoxin
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Complete space-like self-expanders in the Minkovski space
, 2023 It is our purpose to study complete space-like self-expanders in the Minkovski space. By use of maximum principle of Omori-Yau type, we can obtain the rigidity theorems on $n$-dimensional complete space-like self-expanders in the Minkovski space $\mathbb
Li, Zhi, Wei, Guoxin
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Distinct EpCAM-Positive stem cell niches are engaged in chronic and neoplastic liver diseases [PDF]
, 2020 In normal human livers, EpCAMpos cells are mostly restricted in two distinct niches, which are (i) the bile ductules and (ii) the mucous glands present inside the wall of large intrahepatic bile ducts (the so-called peribiliary glands).
Alvaro D. +8 more
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α-Mean curvature flow of non-compact complete convex hypersurfaces and the evolution of level sets
Advances in Nonlinear AnalysisWe consider the α\alpha -mean curvature flow for convex graphs in Euclidean space. Given a smooth, complete, strictly convex, non-compact initial hypersurface over a strictly convex projected domain, we derive uniform curvature bounds, which are ...
Kang Hyunsuk, Lee Ki-Ahm, Lee Taehun
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Lower bounds on density for topologically nontrivial minimal cones up to dimension six
Forum of Mathematics, SigmaWe prove lower bounds on the density of regular minimal cones of dimension less than seven provided the complements of the cones are topologically nontrivial.
Jacob Bernstein, Lu Wang
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The Boundary Term in Huisken's Monotonicity Formula and the Entropy of Translators
, 2022 For a manifold-with-boundary moving by mean curvature flow, the entropy at a later time is bounded by the entropy at an earlier time plus a boundary term. This paper controls the boundary term in a geometrically natural way.
White, Brian
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Conservation laws that depend on functions and PDE reduction: Extending Noether $1\tfrac {1}{2}$
European Journal of Applied MathematicsThis paper develops methods for simplifying systems of partial differential equations (PDEs) that have families of conservation laws which depend on arbitrary functions of the independent or dependent variables. Cases are identified in which such methods
Peter E. Hydon, John R. King
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Rigidity and non-existence results for collapsed translators
, 2023 We prove a rigidity result for mean curvature self-translating solitons, characterizing the grim reaper cylinder as the only finite entropy self-translating 2-surface in $\mathbb{R}^3$ of width $\pi$ and bounded from below.
Impera, Debora +2 more
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On an inverse curvature flow in two-dimensional space forms
, 2021 We study the evolution of compact convex curves in two-dimensional space forms. The normal speed is given by the difference of the weighted inverse curvature with the support function, and in the case where the ambient space is the Euclidean plane, is ...
Kwong, Kwok-Kun +3 more
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Advances in Nonlinear AnalysisOur purpose is to establish nonexistence results concerning complete noncompact mean curvature flow solitons with polynomial volume growth immersed in certain semi-Riemannian warped products, under mild constraints on the warping and soliton functions ...
Batista Márcio +3 more
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