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arXiv · 1409.6060

A priori bounds and positive solutions for non-variational fractional elliptic systems

Edir Junior Ferreira Leite·Marcos Montenegro
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Abstract

In this paper we study strongly coupled elliptic systems in non-variational form involving fractional Laplace operators. We prove Liouville type theorems and, by mean of the blow-up method, we establish a priori bounds of positive solutions for subcritical and superlinear nonlinearities in a coupled sense. By using those latter, we then derive the existence of positive solutions through topological methods.

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Edir Junior Ferreira Leite, Marcos Montenegro. 2014-09-22. A priori bounds and positive solutions for non-variational fractional elliptic systems. https://arxiv.org/abs/1409.6060

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