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The Method of Moving Planes for Integral Equation in an Extremal Case
Authors:Ying Wang & Jian Wang
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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