Abstract
This paper deals with the function u which satisfies △ku = 0, where k ≥ 2 is an integer. Such a function u is called a polyharmonic function. The author gives an upper bound of the measure of the nodal set of u, and shows some growth property of u.
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This work was supported by the National Natural Science Foundation of China (Nos. 11401307, 1150 1292).
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Tian, L. Measure Estimates of Nodal Sets of Polyharmonic Functions. Chin. Ann. Math. Ser. B 39, 917–932 (2018). https://doi.org/10.1007/s11401-018-0104-6
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DOI: https://doi.org/10.1007/s11401-018-0104-6