supported by the National Natural Science Foundation of China(11701298)。
For the high-dimensional Frenkel-Kontorova(FK)model on lattices,we study the existence of minimal foliations by depinning force.We introduce the tilted gradient flow and define the depinning force as the critical valu...
Supported by National Natural Science Foundation of China(11701039);Youth and Research and Innovation Program of BUPT(2017RC18)。
Smillie and Weiss proved that the set of the areas of the minimal triangles of Veech surfaces with area 1 can be arranged as a strictly decreasing sequence{an}.And each an in the sequence corresponds to finitely many ...
Associated with an immersion φ : S^3→ ■, we can define a canonical bundle endomorphism F : TS^3→ TS^3 by the pull back of the K?hler form of ■. In this article,related to F we study equivariant minimal immersions...
supported by the Science and Technology Development Fund(Macao S.A.R.),Grant FDCT/016/2013/A1;the Project MYRG2015-00235-FST of the University of Macao
We prove that, under a semi-ampleness type assumption on the twisted canonical line bundle, the conical Kahler-Ricci flow on a minimal elliptic Kahler surface converges in the sense of currents to a generalized conica...
Supported by National Natural Science Foundation of China(11571002,11461046);Natural Science Foundation of Jiangxi Province,China(20151BAB211013,20161ACB21005);Science and Technology Project of Jiangxi Provincial Department of Education,China(150172);Science Foundation of China Academy of Engineering Physics(2015B0101021);Defense Industrial Technology Development Program(B1520133015)
In this paper,the minimal dissipation local discontinuous Galerkin method is studied to solve the elliptic interface problems in two-dimensional domains.The interface may be arbitrary smooth curves.It is shown that th...
The notion of e-filters is introduced in an MS-algebra and characterized. The concept of D-filters is introduced and a set of equivalent conditions under which every D-filter is an e-filter are given. The properties o...
Supported by the National Natural Science Foundation of China (11171243, 11201385);the Technology Project of Department of Education of Fujian Province(JA12336);the Fundamental Research Funds for the Central Universities (2010121003);the Science and the Natural Science Foundation of Fujian Province (2011J01022)
In this article, we first investigate the properties of modular Frobenius groups. Then, we consider the case that G' is a minimal normal subgroup of a modular Frobenius group G. We give the complete classification of...
supported by the NSFC (11071248, 11071249);supported by the Fundamental Research Funds for the Central Universities(USTC)
In this paper, we construct a class of homogeneous minimal 2-spheres in complex Grassmann manifolds by applying the irreducible unitary representations of SU (2). Furthermore, we compute induced metrics, Gaussian cu...
Supported by the Natural Science Foundation of China(10501026,60675010,10971251)
We study the approximation of functions from anisotropic Sobolev classes b(WpR([0, 1]d)) and HSlder-Nikolskii classes B(HPr([0, 1]d)) in the Lq ([0, 1]d) norm with q 〈 p in the quantum model of computation....