We study a class of semi-linear problems involving the fractional Laplacian under subcritical or critical growth assumptions. We prove that, for the corresponding functional, local minimizers with respect to a $C^0$-topology weighted with a suitable power of the distance from the boundary are actually local minimizers in the natural $H^s$-topology.
Titolo: | Hs versus C0-weighted minimizer |
Autori interni: | |
Data di pubblicazione: | 2015 |
Rivista: | |
Abstract: | We study a class of semi-linear problems involving the fractional Laplacian under subcritical or critical growth assumptions. We prove that, for the corresponding functional, local minimizers with respect to a $C^0$-topology weighted with a suitable power of the distance from the boundary are actually local minimizers in the natural $H^s$-topology. |
Handle: | http://hdl.handle.net/20.500.11769/255079 |
Appare nelle tipologie: | 1.1 Articolo in rivista |
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HsversusC0-weighted minimizers.pdf | Versione Editoriale (PDF) | Open Access Visualizza/Apri |
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