Differential and Integral Equations
- Differential Integral Equations
- Volume 30, Number 11/12 (2017), 947-974.
A priori bounds and positive solutions for non-variational fractional elliptic systems
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.
Differential Integral Equations, Volume 30, Number 11/12 (2017), 947-974.
First available in Project Euclid: 1 September 2017
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Leite, Edir Junior Ferreira; Montenegro, Marcos. A priori bounds and positive solutions for non-variational fractional elliptic systems. Differential Integral Equations 30 (2017), no. 11/12, 947--974. https://projecteuclid.org/euclid.die/1504231281