A Sobolev inequality with reciprocal weights

We give a Sobolev inequality with the weight K(x) belonging to the class A2∩Gn for the function |u|t and the weight K(x)−1 for |∇u|2. The constant in the relevant inequality is seen to depend on the Gn and A2 constants of the weight.

Bibliographische Detailangaben

Veröffentlicht in:	Nonlinear analysis 2012-09, Vol.75 (13), p.5348-5356
Hauptverfasser:	Alberico, Angela, Alberico, Teresa, Sbordone, Carlo
Format:	Artikel
Sprache:	eng
Schlagworte:	Fractional integrals Inequalities Muckenhoupt and Gehring classes Nonlinearity Sobolev inequalities Weighted inequalities Weights
Online-Zugang:	Volltext
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