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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Generic Regularity for All Minimal Hypersurfaces in 8-Manifolds
8流形 最小超曲面 通用规则性
2023/5/5
The well-known Simons cone suggests that singularities may exist in a stable minimal hypersurface in Riemannian manifolds of dimension greater than 7, locally modeled on stable minimal hypercones. It ...
A regularity result for the singular values of a transfer matrix and a quadratically convergent algorithm for computing its L_infinity-norm
Matrix and singular value differentiable function frequency singular value lipschitz second derivative
2015/8/12
The ith singular value of a transfer matrix need not be a differentiable function of frequency where its multiplicity is greater than one. We show that near a local maximum, however, the largest singu...
BMO Regularity for One-Dimensional Minimizers of some Lagrange Problems
Calculus of Variations One-dimensional problems Reverse Jensen Inequalities Tonelli set $BMO$ Orlicz Spaces
2009/2/5
We extend our results about a class of non-regular Lagrange problems of Calculus of Variations showing that the derivative of minimizers are in $BMO$. For this class we give also some results of optim...
Bounded Linear Regularity, Strong CHIP, and CHIP are Distinct Properties
conical hull intersection property Bounded Linear Regularity Distinct Properties
2009/1/16
Bounded linear regularity, the strong conical hull intersection property (strong CHIP), and the conical hull intersection property (CHIP) are properties of a collection of finitely many closed conve...