Classification for positive solutions of degenerate elliptic system

Yuxia Guo; Jianjun Nie

doi:10.3934/dcds.2018130

Article Contents

2019, Volume 39, Issue 3: 1457-1475. Doi: 10.3934/dcds.2018130

This issue Previous Article Regularity estimates for nonlocal Schrödinger equations Next Article A Hopf's lemma and the boundary regularity for the fractional p-Laplacian

Classification for positive solutions of degenerate elliptic system

Yuxia Guo^1, , and
Jianjun Nie^1,2,

1.
Department of Mathematics, Tsinghua University, Beijing 100084, China
2.
Institute of Mathematics, Academy of Mathematics and Systems Science, Beijing 100190, China

* Corresponding author: Yuxia Guo
* Corresponding author: Yuxia Guo

Received: August 31, 2017

Revised: November 30, 2017

Published: December 2018

Yuxia Guo was supported by NSFC (11571040,11331010,11771235). Jianjun Nie was supported by China Postdoctoral Science Foundation (2017M620934)

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Abstract

In this paper, by using the Alexandrov-Serrin method of moving plane combined with integral inequalities, we obtained the complete classification of positive solution for a class of degenerate elliptic system.

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Mathematics Subject Classification: 35B05, 35B45.

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References

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