By means of variational methods we investigate existence, nonexistence as well as regularity of weak solutions for a system of nonlocal equations involving the fractional laplacian operator and with nonlinearity reaching the critical growth and interacting, in a suitable sense, with the spectrum of the operator.
Faria, F. O. L., Miyagaki, O. H., Pereira, F., Squassina, M., Zhang, C., The Brezis-Nirenberg problem for fractional systems, <<ADVANCES IN NONLINEAR ANALYSIS>>, 2016; 5 (1): 85-103 [http://hdl.handle.net/10807/87073]
The Brezis-Nirenberg problem for fractional systems
Squassina, MarcoPenultimo
;
2016
Abstract
By means of variational methods we investigate existence, nonexistence as well as regularity of weak solutions for a system of nonlocal equations involving the fractional laplacian operator and with nonlinearity reaching the critical growth and interacting, in a suitable sense, with the spectrum of the operator.
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