By using the fibering method jointly with Nehari manifold techniques, we obtain the existence of multiple solutions to a fractional p-Laplacian system involving critical concave-convex nonlinearities, provided that a suitable smallness condition on the parameters involved is assumed. The result is obtained although there is no general classification for the optimizers of the critical fractional Sobolev embedding.

Chen, W., Squassina, M., Nonlocal systems with critical concave-convex powers, <<ADVANCED NONLINEAR STUDIES>>, 2016; 16 (N/A): 821-842 [http://hdl.handle.net/10807/87010]

Nonlocal systems with critical concave-convex powers

Squassina, Marco
Ultimo
2016

Abstract

By using the fibering method jointly with Nehari manifold techniques, we obtain the existence of multiple solutions to a fractional p-Laplacian system involving critical concave-convex nonlinearities, provided that a suitable smallness condition on the parameters involved is assumed. The result is obtained although there is no general classification for the optimizers of the critical fractional Sobolev embedding.
Inglese
Chen, W., Squassina, M., Nonlocal systems with critical concave-convex powers, <<ADVANCED NONLINEAR STUDIES>>, 2016; 16 (N/A): 821-842 [http://hdl.handle.net/10807/87010]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10807/87010
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