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

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

Year:    2016

Author:    Ying Wang, Jian Wang

Journal of Partial Differential Equations, Vol. 29 (2016), Iss. 3 : pp. 246–254

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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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

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

Journal of Partial Differential Equations, Vol. 29 (2016), Iss. 3 : pp. 246–254

Published online:    2016-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    9

Keywords:    Integral equation

Author Details

Ying Wang

Jian Wang

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