Eigenvalue of (p,q)-Laplace system along the powers of mean curvature flow
نویسندگان
چکیده
In this paper we derive the evolution equation of first nonzero eigenvalue (p,q)-Laplace system under unnormalized Hk-flow. By imposing some conditions on mean curvature prove monotonicity
منابع مشابه
Flow by Powers of the Gauss Curvature
We prove that convex hypersurfaces in Rn+1 contracting under the flow by any power α > 1 n+2 of the Gauss curvature converge (after rescaling to fixed volume) to a limit which is a smooth, uniformly convex self-similar contracting solution of the flow. Under additional central symmetry of the initial body we prove that the limit is the round sphere.
متن کاملMean Curvature Blowup in Mean Curvature Flow
In this note we establish that finite-time singularities of the mean curvature flow of compact Riemannian submanifolds M t →֒ (N, h) are characterised by the blow up of the mean curvature.
متن کاملa study on construction of iranian life tables: the case study of modified brass logit system
چکیده ندارد.
15 صفحه اولMean curvature flow
Mean curvature flow is the negative gradient flow of volume, so any hypersurface flows through hypersurfaces in the direction of steepest descent for volume and eventually becomes extinct in finite time. Before it becomes extinct, topological changes can occur as it goes through singularities. If the hypersurface is in general or generic position, then we explain what singularities can occur un...
متن کاملRiemannian Mean Curvature Flow
In this paper we explicitly derive a level set formulation for mean curvature flow in a Riemannian metric space. This extends the traditional geodesic active contour framework which is based on conformal flows. Curve evolution for image segmentation can be posed as a Riemannian evolution process where the induced metric is related to the local structure tensor. Examples on both synthetic and re...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Filomat
سال: 2022
ISSN: ['2406-0933', '0354-5180']
DOI: https://doi.org/10.2298/fil2218269s