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Biharmonic Martin boundary and integral representation of biharmonic functions. (Frontière de Martin biharmonique et représentation intégrale des fonctions biharmoniques.) (French) Zbl 0998.31004
A suitable definition for the biharmonic Martin boundary allows an integral representation for non-negative biharmonic pairs of functions on a strong biharmonic space in the sense of E. Smyrnelis [Ann. Inst. Fourier 26, 35-98 (1975; Zbl 0295.31006)].
The Riquier problem with respect to this Martin boundary is solved, too.

31B30 Biharmonic and polyharmonic equations and functions in higher dimensions
31C35 Martin boundary theory
31D05 Axiomatic potential theory
31B20 Boundary value and inverse problems for harmonic functions in higher dimensions
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