We obtain nontrivial solutions to the Brezis–Nirenberg problem for the fractional p-Laplacian operator, extending some results in the literature for the fractional Laplacian. The quasilinear case presents two serious new difficulties.
Mosconi, S., Perera, K., Squassina, M., Yang, Y., The Brezis-Nirenberg problem for the fractional p-Laplacian, <<CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS>>, 2016; 55 (N/A): 1-25. [doi:10.1007/s00526-016-1035-2] [http://hdl.handle.net/10807/86903]
The Brezis-Nirenberg problem for the fractional p-Laplacian
Squassina, MarcoPenultimo
;
2016
Abstract
We obtain nontrivial solutions to the Brezis–Nirenberg problem for the fractional p-Laplacian operator, extending some results in the literature for the fractional Laplacian. The quasilinear case presents two serious new difficulties.
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