In this paper,by choosing some appropriate test functions,we prove the Weyl's lemma for triharmonic functions based on the new type of mean value formulas.
Weyl's lemmaHarmonic functionsTriharmonic functionsTest functionsMean value formulas
ZHENG Run-jie、ZENG Jia-min、FANG Yi
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Department of Mathematics,Anhui University of Technology,Ma'anshan 243002,China
National Natural Science Foundation of ChinaNational Natural Science Foundation of China