Be holomorphic in the unit disk . if an extremal teichmller mapping 在單位圓盤上全純,并且極值的teichmller映射
The solvability of the oblique derivative boundary value problem for elliptic complex equation of third order in the unit disk was proved , and the integral expression of its solutions was given 摘要在一定條件下證明了單位圓盤上的三階非線性橢圓型復方程的斜微商邊值問題的可解性,并給出了其積分形式的解。
We obtain 2 , composition operators on bloch spaces first , we discuss the seminorm and norm of composition operators on bloch space . the relations of seminorm and norm with angle derivative and hyperbolic metric in unit disk are obtained 首先研究了bloch空間上的復合算子的半模與模,得到它們與角導數、單位圓上雙曲度量之間的一些關系。
The paper deals with initial boundary value problem for the following equation in a unit disk . by means of applying the spectral and perturbations theories , solutions of the problem are constructed with small initial data in the form of series 利用譜論和撓動原理,以包含出現在初值函數中小參數的級數形式給出了該方程初邊值問題解的適定性,并給出了解的長時間漸近表達式。
In chapter 3 we obtain a new upper bound for " k - l problem " concerning line transversal to unit disks in the plane , where we prove that for a finite disjoint family f of unit disks in the plane , there is a line intersecting all but at most 5 members of f suppose that even " three of the members admit a line transversal . thus we improve the latest upper bound 12 在第3章中我們討論了直線橫截的有關問題,給出了單位圓“ k l ”問題的一個新上界,即證明了對于平面上有限個兩兩不交的單位圓形成的集族,若其中任三個單位圓可被一直線橫截,則存在一條直線至多不與此集族中的5個單位圓相交,從而改進了原有上界12