A necessary condition for certain integral equations with negative exponents∗ - Details

author：

Xu, J. (Xu, J..) ^[1] | Tan, Z. (Tan, Z..) ^[2] | Wang, W. (Wang, W..) ^[3] | Xiong, Z. (Xiong, Z..) ^[4]

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Abstract：

This　paper　is　devoted　to　studying　the　existene　of　positive　solutions　for　the　following　integral　system　(formula　presented)　It　is　shown　that　if　(u,　v)　is　a　pair　of　positive　Lebesgue　measurable　solutions　of　this　integral　system,　then　(formula　presented)　whih　is　different　from　the　well-known　ase　of　the　Lane-Emden　system　and　its　natural　extension,　the　Hardy-Littlewood-Sobolev　type　integral　equations.　©Wuhan　Institute　Physis　and　Mathematis,.

Keyword：

Existene; Integral equations; Lane-Emden system; Onformal invariane; Positive solutions

Community：

[ 1 ] [Xu, J.]College of Sciences, College of Computer Science, Hunan Agriculture University, Changsha, 410128, China
[ 2 ] [Tan, Z.]School of Mathematical Sciences, Xiamen University, Xiamen, 361005, China
[ 3 ] [Wang, W.]College of Mathematics and Computer Science, Fuzhou University, Fuzhou, 361000, China
[ 4 ] [Xiong, Z.]The First Middle School of Longhui, Longhui, 422200, China

Reprint 's Address：

[Xu, J.]College of Sciences, College of Computer Science, Hunan Agriculture UniversityChina

Email：

jiankaixu@126.com

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Source ：

Acta Mathematica Scientia

ISSN： 0252-9602

Year： 2019

Issue： 1

Volume： 39

Page： 284-296

0 . 9 1 9

JCR@2019

1 . 2 0 0

JCR@2023

ESI HC Threshold：59

JCR Journal Grade：2

CAS Journal Grade：2

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