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

Iannizzotto, A., Mosconi, S., Squassina, M., H^s versus weighted-C^0 minimizers, <<NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS>>, 2015; 22 (3): 477-497. [doi:10.1007/s00030-014-0292-z] [http://hdl.handle.net/10807/87085]

H^s versus weighted-C^0 minimizers

Squassina, Marco
Ultimo
2015

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
2015
Inglese
Iannizzotto, A., Mosconi, S., Squassina, M., H^s versus weighted-C^0 minimizers, <<NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS>>, 2015; 22 (3): 477-497. [doi:10.1007/s00030-014-0292-z] [http://hdl.handle.net/10807/87085]
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10807/87085
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 58
  • ???jsp.display-item.citation.isi??? ND
social impact