Author:
Zeng Jiamin,Zheng Runjie,Fang Yi,
Abstract
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.
Publisher
Journal of University of Science and Technology of China
Reference7 articles.
1. Han Q, Lin F. Elliptic Partial Differential Equations. 2nd edition. Providence, RI: American Mathematical Society, 2011.
2. Gilbarg D, Trudinger N. Elliptic Partial Differential Equations of Second Order. Berlin: Springer Verlag, 1983.
3. Caristi G, Mitidieri E. Harnack inequality and applications to solutions of biharmonic equations. In: Partial Differential Equations and Functional Analysis. Basel, Switzerland: Birkhäuser Verlag, 2006.
4. Karachik V V. On the mean value property for polyharmonic functions in the ball. Siberian Advances in Mathematics, 2014, 24 (3): 169–182.
5. Łysik G. On the mean value property for polyharmonic functions. Acta Math. Hung., 2011, 133: 133–139.
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