No Access

ON ENTIRE SOLUTIONS OF FERMAT TYPE PARTIAL DIFFERENTIAL EQUATIONS

BAO QIN LI

Department of Mathematics, Florida International University, University Park, Miami, FL 33199, USA

https://doi.org/10.1142/S0129167X04002399Cited by:38 (Source: Crossref)

Abstract

We shall consider Fermat type partial differential equations in Cⁿ, and give description and classification for entire solutions of the equations.

Keywords:

AMSC: 32A15, 32W50, 32H30

References

R. Courant and D. Hilbert , Methods of Mathematical Physics II ( Interscience , New York , 1962 ) . Google Scholar
D. C. Chang, B. Q. Li and C. C. Yang, Forum Math. 7, 77 (1995). Web of Science, Google Scholar
P. R. Garabedian , Partial Differential Equations ( Wiley , New York , 1964 ) . Google Scholar
F. Gross , Factorization of Meromorphic Functions ( US Government Printing Office , Washington DC , 1972 ) . Google Scholar
D. Khavinson, Amer. Math. Mon. 102, 159 (1995), DOI: 10.2307/2975351. Crossref, Web of Science, Google Scholar
J. Markushevich , Entire Functions ( American Elsevier Pub. Co. , New York , 1966 ) . Google Scholar
K. Masuda and J. Noguchi, Math. Ann. 304, 339 (1996), DOI: 10.1007/BF01446298. Crossref, Web of Science, Google Scholar
P. Montel , Lecons sur les Families Normales de Functions Analytique et leurs Applications ( Gauthier-Villars , Paris , 1927 ) . Google Scholar
R. Nevanlinna , Le theoreme de Picard–Boral et la Theorie der Functions Meromorphes ( Gauthier-Villars , Paris , 1929 ) . Google Scholar
K. Niino and M. Ozawa, Kodai Math. Sem. Rep. 22, 98 (1970), DOI: 10.2996/kmj/1138846064. Crossref, Google Scholar
M. Range , Holomorphic Functions and Integral Representations in Several Complex Variables ( Springer-Verlag , New York , 1986 ) . Crossref, Google Scholar
P. C. Rosenbloom, Medd. Lunds Univ. Mat. Sem. 186, (1952). Google Scholar
E. G. Saleeby, Analysis 19, 369 (1999). Crossref, Google Scholar
B. V. Shabat , Introduction to Complex Analysis , Translation Mathematical Monographs 110 ( American Mathematical Society , Providence, RI , 1992 ) . Crossref, Google Scholar
W. Stoll , Introduction to the Value Distribution Theory of Meromorphic Functions ( Springer-Verlag , New York , 1982 ) . Google Scholar
N. Toda, Tohoku Math. J. 23, 289 (1971), DOI: 10.2748/tmj/1178242646. Crossref, Google Scholar
A. Vitter, Duke Math. J. 44, 89 (1977), DOI: 10.1215/S0012-7094-77-04404-0. Crossref, Web of Science, Google Scholar
Z. Ye, Invent. Math. 122, 475 (1995), DOI: 10.1007/BF01231453. Crossref, Web of Science, Google Scholar