A Bohr Phenomenon For Elliptic Equations
A Bohr Phenomenon For Elliptic Equations
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DOI：
10.1112/s0024611501012813
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发表时间：
2001-03
影响因子：
1.8
通讯作者：
L. Aĭzenberg;N. Tarkhanov
中科院分区：
文献类型：
--
作者：
L. Aĭzenberg;N. Tarkhanov
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In 1914 Bohr proved that there is an r ∈ (0,1) such that if a power series converges in the unit disk and its sum has modulus less than 1 then, for ∣z∣ < r, the sum of absolute values of its terms is again less than 1. Recently, analogous results have been obtained for functions of several variables. The aim of this paper is to place the theorem of Bohr in the context of solutions to second‐order elliptic equations satisfying the maximum principle.