Entire solutions of eiconal type equations

被引:42
作者
Li, Bao Qin [1 ]
机构
[1] Florida Int Univ, Dept Math, Miami, FL 33199 USA
关键词
entire solution; polynomial; partial differential equation; eiconal type equation;
D O I
10.1007/s00013-007-2118-2
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The paper characterizes entire solutions to partial differential equations u(z1)(2) + u(z2)(2) = p for polynomials p in C-2.
引用
收藏
页码:350 / 357
页数:8
相关论文
共 10 条
[1]   PROCESS PLANNING BY RECOGNIZING AND LEARNING MACHINING FEATURES [J].
CHAN, AKW ;
CASE, K .
INTERNATIONAL JOURNAL OF COMPUTER INTEGRATED MANUFACTURING, 1994, 7 (02) :77-99
[2]  
Courant R., 1962, Methods of mathematical physics, VII
[3]  
Garabedian PR., 1964, Partial Differential Equations
[4]  
John F., 1982, PARTIAL DIFFERENTIAL
[5]   A NOTE ON ENTIRE SOLUTIONS OF THE EICONAL EQUATION [J].
KHAVINSON, D .
AMERICAN MATHEMATICAL MONTHLY, 1995, 102 (02) :159-161
[6]   Entire solutions of (uz1)m+(uz2)n=eg [J].
Li, BQ .
NAGOYA MATHEMATICAL JOURNAL, 2005, 178 :151-162
[7]  
LI BQ, ELCONAL TYPE PARTIAL
[8]  
Saleeby EG., 1999, Analysis (Munich), V19, P369
[9]  
Stoll W., 1982, Introduction to the value distribution theory of meromorphic functions
[10]   LEMMA OF LOGARITHMIC DERIVATIVE IN SEVERAL COMPLEX-VARIABLES [J].
VITTER, A .
DUKE MATHEMATICAL JOURNAL, 1977, 44 (01) :89-104