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arXiv · 1903.08786

Positive solutions for non-variational fractional elliptic systems with negative exponents

Anderson L. A. de Araujo·Luiz F. O. Faria·Edir Junior F. Leite·Olímpio H. Miyagaki
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Abstract

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 (2010), for the fractional case.

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Anderson L. A. de Araujo, Luiz F. O. Faria, Edir Junior F. Leite, Olímpio H. Miyagaki. 2019-03-21. Positive solutions for non-variational fractional elliptic systems with negative exponents. https://arxiv.org/abs/1903.08786

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