Ⅰ. INTRODUCTIONSuppose Ω is a convex domain with piecewise smooth boundary on a 2-dimensional sphere with radius R. Let λ<sub>1</sub>（Ω）be the first eigenvalue of the Laplacian with
In this article we always assume r+q≤n, otherwise the result is trivial. Now we introduce some definitions and notations.Definition 1. Suppose D is a connected open subset in an n-dimensional complex manifold with C^...In this article we always assume r+q≤n, otherwise the result is trivial. Now we introduce some definitions and notations.Definition 1. Suppose D is a connected open subset in an n-dimensional complex manifold with C^2-boundary. We say function φ is a defining function of if there exists an open neighborhood U of x such that φ: U→R and D ∩ U={y∈M|φ(y)【0},展开更多
基金Project supported by the National Natural Science Foundation of China.
文摘Ⅰ. INTRODUCTIONSuppose Ω is a convex domain with piecewise smooth boundary on a 2-dimensional sphere with radius R. Let λ<sub>1</sub>（Ω）be the first eigenvalue of the Laplacian with
基金Project supported by the National Natural Science Foundation of China.
文摘In this paper it is proved that the essential spectrum ot some class of Riemannian mani-folds with nonnegative radical sectional curvature is [0, +∞).
基金Project supported by the National Natural Science Foundation of China
文摘In this article we always assume r+q≤n, otherwise the result is trivial. Now we introduce some definitions and notations.Definition 1. Suppose D is a connected open subset in an n-dimensional complex manifold with C^2-boundary. We say function φ is a defining function of if there exists an open neighborhood U of x such that φ: U→R and D ∩ U={y∈M|φ(y)【0},
