Singularity estimates for elliptic systems of $m$-Laplacians
This paper is concerned about several quasilinear elliptic systems with $m$-Laplacians. According to the Liouville theorems of those systems on $\mathbb R^n$, we obtain the singularity estimates of the positive $C^1$-weak solutions on bounded or unbounded domain (but it is not $\mathbb R^n$) and the...
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| Published in | Journal of the Korean Mathematical Society pp. 1423 - 1433 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
대한수학회
01.01.2018
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| Subjects | |
| Online Access | Get full text |
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| Summary: | This paper is concerned about several quasilinear elliptic systems with $m$-Laplacians. According to the Liouville theorems of those systems on $\mathbb R^n$, we obtain the singularity estimates of the positive $C^1$-weak solutions on bounded or unbounded domain (but it is not $\mathbb R^n$) and their decay rates on the exterior domain when $|x| \to \infty$. The doubling lemma which is developed by Polacik-Quittner-Souplet plays a key role in this paper. In addition, the corresponding results of several special examples are presented. KCI Citation Count: 1 |
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| ISSN: | 0304-9914 2234-3008 |
| DOI: | 10.4134/JKMS.j170724 |