Liouville type theorems for general integral system with negative exponents

Zhao Liu; Lu Chen; Xumin Wang

doi:10.11650/tjm/170810

Liouville type theorems for general integral system with negative exponents

Zhao Liu
, Lu Chen^*
, Xumin Wang

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

In this paper, we establish a Liouville type theorem for the following integral system with negative exponents (Formula Presented), where n ≥ 1, ν > 0, and f, g are continuous functions defined on R+ × R+. Under nature structure conditions on f and g, we classify each pair of positive solutions for above integral system by using the method of moving sphere in integral forms. Moreover, some other Liouville theorems are established for similar integral systems.

Original language	English
Pages (from-to)	661-675
Number of pages	15
Journal	Taiwanese Journal of Mathematics
Volume	22
Issue number	3
DOIs	https://doi.org/10.11650/tjm/170810
Publication status	Published - Jun 2018
Externally published	Yes

Keywords

Integral system
Liouville type theorems
Method of moving spheres

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10.11650/tjm/170810

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abstract = "In this paper, we establish a Liouville type theorem for the following integral system with negative exponents (Formula Presented), where n ≥ 1, ν > 0, and f, g are continuous functions defined on R+ × R+. Under nature structure conditions on f and g, we classify each pair of positive solutions for above integral system by using the method of moving sphere in integral forms. Moreover, some other Liouville theorems are established for similar integral systems.",

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author = "Zhao Liu and Lu Chen and Xumin Wang",

year = "2018",

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AU - Chen, Lu

AU - Wang, Xumin

PY - 2018/6

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N2 - In this paper, we establish a Liouville type theorem for the following integral system with negative exponents (Formula Presented), where n ≥ 1, ν > 0, and f, g are continuous functions defined on R+ × R+. Under nature structure conditions on f and g, we classify each pair of positive solutions for above integral system by using the method of moving sphere in integral forms. Moreover, some other Liouville theorems are established for similar integral systems.

AB - In this paper, we establish a Liouville type theorem for the following integral system with negative exponents (Formula Presented), where n ≥ 1, ν > 0, and f, g are continuous functions defined on R+ × R+. Under nature structure conditions on f and g, we classify each pair of positive solutions for above integral system by using the method of moving sphere in integral forms. Moreover, some other Liouville theorems are established for similar integral systems.

KW - Integral system

KW - Liouville type theorems

KW - Method of moving spheres

UR - https://www.scopus.com/pages/publications/85050643647

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DO - 10.11650/tjm/170810

M3 - Article

AN - SCOPUS:85050643647

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VL - 22

SP - 661

EP - 675

JO - Taiwanese Journal of Mathematics

JF - Taiwanese Journal of Mathematics

IS - 3

ER -

Liouville type theorems for general integral system with negative exponents

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Keywords

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