Liouville type theorems for singular integral equations and integral systems

Xiaohui Yu

doi:10.3934/cpaa.2016017

Article Contents

2016, Volume 15, Issue 5: 1825-1840. Doi: 10.3934/cpaa.2016017

This issue Previous Article On small data scattering of Hartree equations with short-range interaction Next Article Positive solutions of Kirchhoff type problem with singular and critical nonlinearities in dimension four

Liouville type theorems for singular integral equations and integral systems

Xiaohui Yu^1,

1.
Institute for Advanced Study, Shenzhen University, Shenzhen Guangdong, 518060

Received: October 2015

Revised: February 2016

Published: September 2016

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Abstract

In this paper, we establish some Liouville type theorems for positive solutions of some integral equations and integral systems in $R^N$. The main technique we use is the method of moving planes in an integral form.

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Mathematics Subject Classification: Primary: 35J60, 45G05; Secondary: 35J47.

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