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Harnack’s properties of biharmonic functions. (English) Zbl 0754.31006
The author proves, in the context of elliptic biharmonic spaces, the equivalence of Harnack’s inequality, the Harnack convergence property, and several other properties. He also proves the equicontinuity of the family of positive biharmonic pairs satisfying a common bound at a fixed point.

MSC:
31B30 Biharmonic and polyharmonic equations and functions in higher dimensions
31D05 Axiomatic potential theory
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