Harnack inequality for polyharmonic equations

Some new types of mean value formulas for the polyharmonic functions were established. Based on the formulas, the Harnack inequality for the nonnegative solutions to the polyharmonic equations was proved.

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Veröffentlicht in:Zhōngguó kēxué jìshù dàxué xuébào 2023, Vol.53 (5), p.504-38
Hauptverfasser: Zeng, Jiamin, Zheng, Runjie, Fang, Yi
Format: Artikel
Sprache:eng
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Zusammenfassung:Some new types of mean value formulas for the polyharmonic functions were established. Based on the formulas, the Harnack inequality for the nonnegative solutions to the polyharmonic equations was proved.
ISSN:0253-2778
0253-2778
DOI:10.52396/JUSTC-2022-0114