The main purpose of this paper is to investigate the univalence of normalized polyharmonic mappings with bounded length distortions in the unit disk.We first establish the coefficient estimates for polyharmonic mappin...The main purpose of this paper is to investigate the univalence of normalized polyharmonic mappings with bounded length distortions in the unit disk.We first establish the coefficient estimates for polyharmonic mappings with bounded length distortions.Then,using these results,we establish five Landau-type theorems for subclasses of polyharmonic mappings F and L(F),where F has bounded length distortion and L is a differential operator.展开更多
在函数类空间:W={u(x)=(sinf(r)eidθ,cosf(r))∈H1(B,S2);u|аB=g}中研究Landau-Lifshitz型泛函Eε(u,B)=12B∫|u|2dx+1/2ε2 B ∫u23dx的径向极小元uε当ε→0时的极限行为,通过给出uε的整体估计和引入尺度定理,得到了径向极小元uε...在函数类空间:W={u(x)=(sinf(r)eidθ,cosf(r))∈H1(B,S2);u|аB=g}中研究Landau-Lifshitz型泛函Eε(u,B)=12B∫|u|2dx+1/2ε2 B ∫u23dx的径向极小元uε当ε→0时的极限行为,通过给出uε的整体估计和引入尺度定理,得到了径向极小元uε的第三个分量u3等于1的点的分布状况.展开更多
The behavior of radial minimizers for a Ginzburg-Landau type functional is considered. The weak convergence of minimizers in W1,n is improved to the strong convergence in W1,n. Some estimates of the rate of the conver...The behavior of radial minimizers for a Ginzburg-Landau type functional is considered. The weak convergence of minimizers in W1,n is improved to the strong convergence in W1,n. Some estimates of the rate of the convergence for the module of minimizers are presented.展开更多
Here we generalize the "BBH"-asymptotic analysis to a simplified mathematical model for tho planar ferromaguets and antiferromagnets. To develop such a static theory is a necessary step for a rigorous mathem...Here we generalize the "BBH"-asymptotic analysis to a simplified mathematical model for tho planar ferromaguets and antiferromagnets. To develop such a static theory is a necessary step for a rigorous mathematical justification of dynamical laws for the magnetic vortices formally derived in [1] and [2].展开更多
基金supported by the Natural Science Foundation of Guangdong Province(2021A1515010058)supported by the Youth Innovation Foundation of Shenzhen Polytechnic University(6024310023K)。
文摘The main purpose of this paper is to investigate the univalence of normalized polyharmonic mappings with bounded length distortions in the unit disk.We first establish the coefficient estimates for polyharmonic mappings with bounded length distortions.Then,using these results,we establish five Landau-type theorems for subclasses of polyharmonic mappings F and L(F),where F has bounded length distortion and L is a differential operator.
文摘在函数类空间:W={u(x)=(sinf(r)eidθ,cosf(r))∈H1(B,S2);u|аB=g}中研究Landau-Lifshitz型泛函Eε(u,B)=12B∫|u|2dx+1/2ε2 B ∫u23dx的径向极小元uε当ε→0时的极限行为,通过给出uε的整体估计和引入尺度定理,得到了径向极小元uε的第三个分量u3等于1的点的分布状况.
文摘The behavior of radial minimizers for a Ginzburg-Landau type functional is considered. The weak convergence of minimizers in W1,n is improved to the strong convergence in W1,n. Some estimates of the rate of the convergence for the module of minimizers are presented.
基金Supported by the Dean's Dissertation FellowshipSupported by a NSF grant
文摘Here we generalize the "BBH"-asymptotic analysis to a simplified mathematical model for tho planar ferromaguets and antiferromagnets. To develop such a static theory is a necessary step for a rigorous mathematical justification of dynamical laws for the magnetic vortices formally derived in [1] and [2].
