Positive harmonic functions and biharmonic degeneracy
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- by Leo Sario and Cecilia Wang PDF
- Bull. Amer. Math. Soc. 79 (1973), 182-187
References
- Dennis Hada, Leo Sario, and Cecilia Wang, $N$-manifolds carrying bounded but no Dirichlet finite harmonic functions, Nagoya Math. J. 54 (1974), 1–6. MR 387614
- Mitsuru Nakai and Leo Sario, Existence of Dirichlet finite biharmonic functions, Ann. Acad. Sci. Fenn. Ser. A. I. 532 (1973), 34. MR 425831
- Mitsuru Nakai and Leo Sario, Existence of bounded biharmonic functions, J. Reine Angew. Math. 259 (1973), 147–156. MR 320949
- 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
- Leo Sario and Cecilia Wang, Counterexamples in the biharmonic classification of Riemannian $2$-manifolds, Pacific J. Math. 50 (1974), 159–162. MR 355083
- Leo Sario and Cecilia Wang, Generators of the space of bounded biharmonic functions, Math. Z. 127 (1972), 273–280. MR 320349, DOI 10.1007/BF01114930
Additional Information
- Journal: Bull. Amer. Math. Soc. 79 (1973), 182-187
- MSC (1970): Primary 31B30
- DOI: https://doi.org/10.1090/S0002-9904-1973-13146-5
- MathSciNet review: 0310801