摘要
1 Newton imbedding method for nonlinear elliptic complex equation of first orderWe discuss the following nonlinear elliptic complex equation of first order on D;where D is N+1 connected bounded domain. Without loss of generality, D is supposed to be N+ 1 con-nected circular domain in |z|【 1 and its boundary contour is = <sub>j</sub>, <sub>j</sub>= {|z-z<sub>j</sub>|=r<sub>j</sub>},j=1,…,N, <sub>0</sub>= <sub>N</sub>+1= {|z|=1},z=0∈D.First, we introduce two conditions satisfying (1. 1).Condition C; For any function W(z) continuous on D and any complex numbers V<sub>1</sub>,V<sub>2</sub>, the followinginequalities
出处
《四川师范大学学报(自然科学版)》
CAS
CSCD
1991年第1期67-68,共2页
Journal of Sichuan Normal University(Natural Science)