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 …

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 …

Solitons to the Willmore flow Skip to content Should you have institutional access? Here's how
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We show that a complete translating soliton in Euclidean space with either finite entropy or
Euclidean volume growth is proper. For any translating soliton, whether it is proper or not …

In this paper, we explore certain properties of λ-translators, which can be regarded as a
natural generalization of translators. We first obtain a rigidity result for a complete λ …

In this paper, we study the rigidity results of complete graphical translating hypersurfaces
when the translating direction is not in the graphical direction. We proved that any entire …

In this paper, we give two rigidity results of free boundary hypersurfaces in a ball. First, we
prove that any minimal hypersurface with free boundary in a closed geodesic ball in a round …

The inverse mean curvature flow (IMCF) has been extensively studied not only as a type of
geometric flows, but also for its applications to geometric inequalities. The focus is primarily …

In this paper, we determine which half-space contains a complete translating soliton of the
mean curvature flow and it is related to the well-known half-space theorem for minimal …

In this paper, we show that a complete translating soliton Σ m in ℝ n for the mean curvature
flow is stable with respect to weighted volume functional if Σ satisfies that the L m norm of the …