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Positive Solutions for Non-Variational Fractional Elliptic Systems with Negative Exponents
Zeitschrift für Analysis und ihre Anwendungen ( IF 1.2 ) Pub Date : 2021-01-25 , DOI: 10.4171/zaa/1675
Anderson L.A. de Araujo 1 , Luiz F.O. Faria 2 , Edir J.F. Leite 1 , Olímpio Miyagaki 3
Affiliation  

In this paper, we study strongly coupled elliptic systems in non-variational form with negative exponents involving fractional Laplace operators. We investigate the existence, nonexistence, and uniqueness of the positive classical solution. The results obtained here are a natural extension of the results obtained by Ghergu [J. Funct. Anal. 258 (2010), 3295–3318] for the fractional case.

中文翻译:

具有负指数的非变分分数椭圆系统的正解

在本文中,我们研究了具有分数拉普拉斯算子的负指数的非变形式强耦合椭圆系统。我们研究正古典解的存在,不存在和唯一性。这里获得的结果是Ghergu [J. 功能 肛门 258(2010),3295–3318]。
更新日期:2021-01-26
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