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FIRST VARIATION OF THE GENERAL CURVATURE-DEPENDENT SURFACE ENERGY
Surface energy gradient fl ow mean curvature
2015/12/11
We consider general surface energies, which are weighted integrals
over a closed surface with a weight function depending on the position, the
unit normal and the total curvature of the surface. Ene...
FIRST EIGENVALUES OF GEOMETRIC OPERATORS UNDER THE RICCI FLOW
GEOMETRIC OPERATORS UNDER FLOW
2015/8/17
In this paper, we prove that the first eigenvalues of
−∆ + cR (c ≥
1
4
) is nondecreasing under the Ricci flow. We also
prove the monotonicity under the normalized Ricci &...
Default Risk Modeling Beyond the First-Passage Approximation. I. Extended Black-Cox Model
Default Risk Modeling First-Passage Approximation Black-Cox Model
2010/4/27
We develop a generalization of the Black-Cox structural model of default risk. The extended model captures uncertainty related to firms ability to avoid default even if companys liabilities momentaril...
Some properties of the first eigenvalue of the p(x)-laplacian on riemannian manifolds
Variable exponent Lebesgue and Sobolev spaces first eigenvalue Riemannian manifolds p(x)-Laplacian
2010/2/25
The main result of the present paper establishes a stability property of the first eigenvalue of the associated problem which deals with the p(x)-Laplacian on Riemannian manifolds with Dirichlet bound...
A Global Curvature Pinching Result of the First Eigenvalue of Laplacian on Riemannian Manifolds
Moser迭代 第一特征值 结点集 结点域
2008/5/15
通过利用一个拟阵与它的直立之间的关系,特别是通过处理一个拟阵与一个特殊映射 $f$之间的关系, 具体分析了V\'amos拟阵的直立问题,得到了除去平凡情形, V\'amos 拟阵没有直立的结论. 从而回答了由Welsh 提出``V\'amos拟阵是否有直立?''的问题.
关键词
Moser迭代
...
<正> In the present paper we propose to establish certain theoremsconcerning plane sections of the circumscribed developable of a curvein the projective n-dimensional space s_n((?)3).The planes in cons...