# American Institute of Mathematical Sciences

July  2017, 16(4): 1121-1134. doi: 10.3934/cpaa.2017054

## Radial symmetry results for Bessel potential integral equations in exterior domains and in annular domains

 1 Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China 2 Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240, China 3 Department of Mathematics, University of Iowa, Iowa City, IA 52242, USA

* Corresponding author

Received  September 2014 Revised  June 2016 Published  April 2017

Fund Project: The first author is supported by Fundamental Research Funds for the Central Universities: NS2014080.

The purpose of this paper is to investigate positive solutions of integral equations involving Bessel potential. Exploiting the moving plane method in integral form, we give the radial symmetry of both the domain and solutions of our integral equations in exterior domains and in annular domains respectively.

Citation: Xiaotao Huang, Lihe Wang. Radial symmetry results for Bessel potential integral equations in exterior domains and in annular domains. Communications on Pure & Applied Analysis, 2017, 16 (4) : 1121-1134. doi: 10.3934/cpaa.2017054
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