A remark on classification of Riemann surfaces with respect to $\Delta u = Pu$

Author:
Mitsuru Nakai

Journal:
Bull. Amer. Math. Soc. **77** (1971), 527-530

MSC (1970):
Primary 30A48, 31B05, 35J05, 53C20

DOI:
https://doi.org/10.1090/S0002-9904-1971-12739-8

Cited work:
Bull. Amer. Math. Soc., Volume 77, Number 3 (1971), 381--385

MathSciNet review:
0281909

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References | Similar Articles | Additional Information

**1.**M. Glasner, R. Katz and M. Nakai,*A remark on classification of Riemannian manifolds with respect to ∆u=Pu*, Bull. Amer. Math. Soc. 77 (1971), 425-428. MR**276897****2.**M. Nakai,*Dirichlet finite solutions of ∆u=Pu, and classification of Riemann surfaces*, Bull. Amer. Math. Soc. 77 (1971), 381-385. MR**293083****3.**M. Nakai,*Dirichlet finite solutions of ∆u=Pu on open Riemann surfaces*, Kodai Math. Sem. Rep. (to appear). MR**304647****4.**M. Nakai,*The equation ∆u=Pu on E*P≧O, Tôhoku Math. J. (to appear).**5.**M. Ozawa,*Classification of Riemann surfaces*, Kodai Math. Sem. Rep., 1952, 63-76. MR 14, 462. MR**51322****6.**H. Royden,*The equation ∆u=Pu and classification of open Riemann surfaces*, Ann. Acad. Sci. Fenn. Ser. A I No. 271 (1959). MR 22 #12215. MR**121477****7.**M. Tsuji,*Potential theory in modern function theory*, Maruzen, Tokyo, 1959. MR 22 #5712. MR**114894**

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DOI:
https://doi.org/10.1090/S0002-9904-1971-12739-8