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A NOTE ON RADIAL SYMMETRY FOR AN INTEGRAL EQUATION OF WOLFF TYPE

Part of: Nonlinear integral equations Qualitative behavior

Published online by Cambridge University Press:  20 February 2019

YUN WANG  and
LIXIN TIAN
YUN WANG*
Affiliation:
Institute of Mathematics, School of Mathematical Sciences, Nanjing Normal University, Nanjing, 210023, China email wangjiaqidouqi@foxmail.com
LIXIN TIAN
Affiliation:
Institute of Mathematics, School of Mathematical Sciences, Nanjing Normal University, Nanjing, 210023, China email tianlixin@njnu.edu.cn
*
✉wangjiaqidouqi@foxmail.com
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Abstract

We prove that positive solutions of an integral equation of Wolff type are radially symmetric and decreasing about some point in $R^{n}$. The hypotheses allow a wider range of exponents and are easier to apply than those in previous work.

Keywords

integral equationWolff potentialradial symmetrymethod of moving planesWolff-type inequality

MSC classification

Primary: 45M20: Positive solutions
Secondary: 45G05: Singular nonlinear integral equations
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 100 , Issue 2 , October 2019 , pp. 323 - 327
Copyright
© 2019 Australian Mathematical Publishing Association Inc. 

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Footnotes

This research was supported by Innovation Project for Graduate Student Research of Jiangsu Province (Grant No. KYCX17 1053).

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