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 [http://hdl.handle.net/10807/86903]

The Brezis-Nirenberg problem for the fractional p-Laplacian

Squassina, Marco
Penultimo
;
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.
eng
Mosconi, S., Perera, K., Squassina, M., Yang, Y., The Brezis-Nirenberg problem for the fractional p-Laplacian, <>, 2016; 55 (N/A): 1-25 [http://hdl.handle.net/10807/86903]
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10807/86903
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