Geodesic
A Toda lattice in dimension 2 and Nevanlinna theory
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 3 (2007) no. 1, pp. 39-46 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{JMAG_2007_3_1_a2,
     author = {A. Eremenko},
     title = {A {Toda} lattice in dimension~2 and {Nevanlinna} theory},
     journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
     pages = {39--46},
     year = {2007},
     volume = {3},
     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JMAG_2007_3_1_a2/}
}
TY  - JOUR
AU  - A. Eremenko
TI  - A Toda lattice in dimension 2 and Nevanlinna theory
JO  - Žurnal matematičeskoj fiziki, analiza, geometrii
PY  - 2007
SP  - 39
EP  - 46
VL  - 3
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/JMAG_2007_3_1_a2/
LA  - en
ID  - JMAG_2007_3_1_a2
ER  - 
%0 Journal Article
%A A. Eremenko
%T A Toda lattice in dimension 2 and Nevanlinna theory
%J Žurnal matematičeskoj fiziki, analiza, geometrii
%D 2007
%P 39-46
%V 3
%N 1
%U http://geodesic.mathdoc.fr/item/JMAG_2007_3_1_a2/
%G en
%F JMAG_2007_3_1_a2
A. Eremenko. A Toda lattice in dimension 2 and Nevanlinna theory. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 3 (2007) no. 1, pp. 39-46. http://geodesic.mathdoc.fr/item/JMAG_2007_3_1_a2/

[1] L. Ahlfors, “The Theory of Meromorphic Curves”, Acta Soc. Sci. Fennicae. Nova Ser. A, 3:4 (1941), 31 | MR

[2] E. Calabi, “Metric Riemann Surfaces”, Contributions to the Theory of Riemann Surfaces, Ann. Math. Stud., 30, Princeton Univ. Press, Princeton, NJ, 1953, 77–85 | MR

[3] W. X. Chen, G. Li, “Classification of Solutions of Some Nonlinear Elliptic Equations”, Duke Math. J., 63:3 (1991), 615–622 | DOI | MR | Zbl

[4] A. Eremenko, “Extremal Holomorphic Curves for Defect Relations”, J. d'Analyse math., 74 (1998), 307–323 | DOI | MR | Zbl

[5] A. Eremenko, “Entire and Meromorphic Solutions of Ordinary Differential Equations”, Complex Analysis, I, Encyclopædia of Math. Sci., 85, Springer, New York, 1997 | MR

[6] M. Frei, “Sur l'Ordre des Solutions Entières d'une Équations Différentielle Linéaire”, C.R. Acad. Sci., 236 (1953), 38–40 | MR | Zbl

[7] A. Goldberg, Some Questions of Value Distribution Theory, Gos. Izdat. Fiz.-Mat. Lit., Moscow, 1960 (Russian) | MR

[8] J. Jost, G. Wang, “Classification of Solutions of a Toda System in $R^2$”, Int. Math. Res. Notices, 2002, no. 6, 277–290 | DOI | MR | Zbl

[9] J. Liouville, “Sur l'Équation aux Différences Partielles $\frac{d^2}{dudv}\log\lambda\pm\frac\lambda{2a^2}=0$”, J. Math. Pures Appl., 18 (1853), 71–72

[10] F. Nevanlinna, “Über eine Klasse Meromorpher Funktionen”, 7-e Congrés des Mathmaticiens Scandinaves (Oslo, 1929), AW Broggers, Oslo, 1930 | Zbl

[11] V. Petrenko, Entire Curves, Vyshcha Shkola, Kharkov, 1984 (Russian) | MR

[12] K. Pöschl, “Über Anwachsen und Nullstellenverteilung der ganzen transzendenten Lösungen linearer Differentialgleichungen, I”, J. Reine Angew. Math., 199 (1958), 121–138 | DOI | MR | Zbl

[13] B. Shabat, Distribution of Values of Holomorphic Mappings, AMS Transl., 61, Providence, RI, 1985 | MR | Zbl

[14] H. Weyl, J. Weyl, “Meromorphic Curves (2)”, Ann. Math., 39:3 (1938), 516–538 | DOI | MR

[15] H. Weyl, Meromorphic Functions and Analytic Curves, Ser. Ann. Math. Stud., 12, Princeton, 1943 | MR | Zbl

[16] H. Wittich, Neuere Untersuchungen über eindeutige analytische Funktionen, Springer, Berlin, 1955 | MR | Zbl