The Method of Moving Planes for Integral Equation in an Extremal Case

Authors

  • Ying Wang Department of Mathematics, Jiangxi Normal University, Nanchang, Jiangxi 330022, China
  • Jian Wang Institute of Technology, East China Jiaotong University, Nanchang, Jiangxi 330022, China

DOI:

https://doi.org/10.4208/jpde.v29.n3.6

Keywords:

Integral equation;radial symmetry;the method of moving planes

Abstract

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.

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Published

2016-09-05

Issue

Vol. 29 No. 3 (2016)

Section

Articles