Biharmonic Martin boundary and integral representation of biharmonic functions. (Q1611287)

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scientific article; zbMATH DE number 1785639
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Biharmonic Martin boundary and integral representation of biharmonic functions.
scientific article; zbMATH DE number 1785639

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    Biharmonic Martin boundary and integral representation of biharmonic functions. (English)
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    21 August 2002
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    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 \textit{E. Smyrnelis} [Ann. Inst. Fourier 26, 35-98 (1975; Zbl 0295.31006)]. The Riquier problem with respect to this Martin boundary is solved, too.
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    biharmonic function
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    Martin boundary
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    integral representation
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