Critical Brezis-Nirenberg problem for nonlocal systems
Keywords
Fractional systems, Brezis-Nirenberg problem, resonance, critical growthAbstract
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.Published
2017-05-21
How to Cite
1.
FARIA, Luiz F.O., MIYAGAKI, Olímpio H. and PEREIRA, Fábio R. Critical Brezis-Nirenberg problem for nonlocal systems. Topological Methods in Nonlinear Analysis. Online. 21 May 2017. Vol. 50, no. 1, pp. 333 - 355. [Accessed 23 April 2024].
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