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

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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.

Keywords:

Integral equation;radial symmetry;the method of moving planes
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DOI

10.4208/jpde.v29.n3.6

How to Cite

The Method of Moving Planes for Integral Equation in an Extremal Case. (2016). Journal of Partial Differential Equations, 29(3), 246-254. https://doi.org/10.4208/jpde.v29.n3.6
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