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(fù)方程的斜微商邊值問(wèn)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(fù)合算子的半模與模,得到它們與角導(dǎo)數(shù)、單位圓上雙曲度量之間的一些關(guān)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(dòng)原理,以包含出現(xiàn)在初值函數(shù)中小參數(shù)的級(jí)數(shù)形式給出了該方程初邊值問(wèn)題解的適定性,并給出了解的長(zhǎng)時(shí)間漸近表達(dá)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(guān)問(wèn)題,給出了單位圓“ k l ”問(wèn)題的一個(gè)新上界,即證明了對(duì)于平面上有限個(gè)兩兩不交的單位圓形成的集族,若其中任三個(gè)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(gè)單位圓相交,從而改進(jìn)了原有上界12