Minimality in families of solutions of $\Delta u = Pu$ on Riemannian manifolds
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- by Kwang-nan Chow PDF
- Bull. Amer. Math. Soc. 77 (1971), 1079-1081
References
- Moses Glasner and Richard Katz, A note on the Royden boundary, Bull. Amer. Math. Soc. 75 (1969), 945–947. MR 247125, DOI 10.1090/S0002-9904-1969-12306-2
- Moses Glasner and Richard Katz, On the behavior of solutions of $\Delta u=Pu$ at the Royden boundary, J. Analyse Math. 22 (1969), 343–354. MR 257344, DOI 10.1007/BF02786798
- Mitsuru Nakai, The space of bounded solutions of the equation $\Delta u=pu$ on a Riemann surface, Proc. Japan Acad. 36 (1960), 267–272. MR 121478
- Mitsuru Nakai, Genus and classification of Riemann surfaces, Osaka Math. J. 14 (1962), 153–180. MR 140675
- H. L. Royden, The equation $\Delta u=Pu$, and the classification of open Riemann sufaces, Ann. Acad. Sci. Fenn. Ser. A I No. 271 (1959), 27. MR 0121477
- L. Sario and M. Nakai, Classification theory of Riemann surfaces, Die Grundlehren der mathematischen Wissenschaften, Band 164, Springer-Verlag, New York-Berlin, 1970. MR 0264064
Additional Information
- Journal: Bull. Amer. Math. Soc. 77 (1971), 1079-1081
- MSC (1970): Primary 31B10, 31B25, 31B35; Secondary 31B05
- DOI: https://doi.org/10.1090/S0002-9904-1971-12877-X
- MathSciNet review: 0287479