Author:
Zhao Weiwei,Shao Xiaoling,Hu Changhui,Cheng Zhiyu
Abstract
AbstractWe establish a Liouville-type theorem for a weighted higher-order elliptic system in a wider exponent region described via a critical curve. We first establish a Liouville-type theorem to the involved integral system and then prove the equivalence between the two systems by using superharmonic properties of the differential systems. This improves the results in (Complex Var. Elliptic Equ. 5:1436–1450, 2013) and (Abstr. Appl. Anal. 2014:593210, 2014).
Funder
Foundation of Hainan University
Hainan Provincial Nat ural Science Foundation of China
National Natural Science Foundation of China
Publisher
Springer Science and Business Media LLC
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