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 (N/A): 477-497 [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
Inglese
Iannizzotto, A., Mosconi, S., Squassina, M., H^s versus weighted-C^0 minimizers, <<NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS>>, 2015; 22 (N/A): 477-497 [http://hdl.handle.net/10807/87085]
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10807/87085
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