TY - JOUR T1 - The Method of Moving Planes for Integral Equation in an Extremal Case AU - Wang , Ying AU - Wang , Jian JO - Journal of Partial Differential Equations VL - 3 SP - 246 EP - 254 PY - 2016 DA - 2016/09 SN - 29 DO - http://doi.org/10.4208/jpde.v29.n3.6 UR - https://global-sci.org/intro/article_detail/jpde/5091.html KW - Integral equation KW - radial symmetry KW - the method of moving planes AB - In this paper, we study the symmetry results and monotonicity of solutions for an integral equation $$u(x)=-c_N∫_{\mathbb{R}^N}e^{u(y)}log|x-y|dy$$ in an external case.