Critical Brezis-Nirenberg problem for nonlocal systems

Luiz F.O. Faria, Olímpio H. Miyagaki, Fábio R. Pereira

DOI: http://dx.doi.org/10.12775/TMNA.2017.017

Abstract


We deal with the existence of solutions to a critical elliptic system involving the fractional Laplacian operator. We consider the primitive of the nonlinearity interacting with the spectrum of the operator. The one side resonant case is also considered. Variational methods are used to obtain the existence, and our result improves earlier results of the authors.

Keywords


Fractional systems; Brezis-Nirenberg problem; resonance; critical growth

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