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Harmonic and biharmonic degeneracy. (English) Zbl 0272.31005


MSC:

31B30 Biharmonic and polyharmonic equations and functions in higher dimensions
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References:

[1] NAKAI M., AND L. SARIO, Existence of Dirichlet finite biharmomc functions. Ann Acad. Sci. Fenn. A. I. 532 (1973), 1-33.
[2] NAKAI M., AND L. SARIO, Existence of bounded biharmomc functions. J. Reme Angew. Math. 25 (1973), 147-156. · Zbl 0251.31003
[3] SARIO L., AND M. NAKAI, Classification Theory of Riemann Surfaces. Springer, (1970), 446 pp · Zbl 0199.40603
[4] SARIO L., AND C. WANG, Parabolicity and existence of bounded biharmonic func tions. Comm. Math. Helv. 47 (1972), 341-347. · Zbl 0247.31012 · doi:10.1007/BF02566809
[5] SARIO L., AND C. WANG, Parabolicity and existence of Dichlet finite biharmonic functions. J. London Math. Soc. (to appear) Los ANGELES, U. S. A. · Zbl 0278.31009 · doi:10.1112/jlms/s2-8.1.145
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