Liouville type theorems for the system of integral equations

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摘要

Consider the system of integral equations in Rnu(x)=∫Rn|x-y|α-nu(y)pv(y)qdy,v(x)=∫Rn|x-y|α-nu(y)qv(y)pdy,where 0<α

论文关键词：Hardy–Littlewood–Sobolev inequality,System of integral equations,Moving spheres method,Conformal invariance,Liouville type theorem

论文评审过程：Available online 30 July 2010.

论文官网地址：https://doi.org/10.1016/j.amc.2010.07.071