In this paper we focus our attention on an embedding result for a weighted Sobolev space that involves as weight the distance function from the boundary taken with respect to a general smooth gauge function $F$. Starting from this type of inequalities we prove some refined Hardy-type inequalities.

A weighted anisotropic Sobolev type inequality and its applications to Hardy inequalities

Giuseppina di Blasio;Giovanni Pisante
;
2021

Abstract

In this paper we focus our attention on an embedding result for a weighted Sobolev space that involves as weight the distance function from the boundary taken with respect to a general smooth gauge function $F$. Starting from this type of inequalities we prove some refined Hardy-type inequalities.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11591/418052
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