NONEXISTENCE OF STABLE SOLUTIONS OF THE WEIGHTED LANE-EMDEN SYSTEM

Huantong Chen; Bo Tao; Danting Ye

doi:10.11948/20210069

2022 Volume 12 Issue 6

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Huantong Chen, Bo Tao, Danting Ye. NONEXISTENCE OF STABLE SOLUTIONS OF THE WEIGHTED LANE-EMDEN SYSTEM[J]. Journal of Applied Analysis & Computation, 2022, 12(6): 2133-2142. doi: 10.11948/20210069

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Huantong Chen, Bo Tao, Danting Ye. NONEXISTENCE OF STABLE SOLUTIONS OF THE WEIGHTED LANE-EMDEN SYSTEM[J]. Journal of Applied Analysis & Computation, 2022, 12(6): 2133-2142. doi: 10.11948/20210069

NONEXISTENCE OF STABLE SOLUTIONS OF THE WEIGHTED LANE-EMDEN SYSTEM

1.
College of Information Engineering, Jinhua Polytechnic, Jinhua, Zhejiang, 321000, China
2.
Colloge of Mathematics and computer Science, Zhejiang Normal University, Jinhua, Zhejiang, 321000, China

Corresponding author: Email: DantingYe@zjnu.edu.cn(D. Ye)

Abstract

Abstract

The aim of this paper is to study the stability of the positive solutions of the weighted Lane-Emden system. By applying the structure of the $ m$-biharmonic weighted equation, we prove the nonexistence of positive stable solutions for the case $ 0<p<1<p^{-1}<\theta$.
- Stable solutions /
- Lane-Emden system /
- m-biharmonic equation /
- Nonexistence
MSC: 35B35, 35B53, 35J60

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References

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