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

Anderson L. A. de Araujo; Edir Junior F. Leite; Luiz F. O. Faria; Ol\'impio H. Miyagaki

arxiv: 1903.08786 · v1 · pith:P5HKGJ3Nnew · submitted 2019-03-21 · 🧮 math.AP

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

Anderson L. A. de Araujo , Luiz F. O. Faria , Edir Junior F. Leite , Ol\'impio H. Miyagaki This is my paper

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keywords fractionalellipticexponentsnegativenon-variationalobtainedpositiveresults

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

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