Extremals for Hardy-Sobolev type inequalities with monomial weights

Castro, Hernan

Abstract

In this article we study the existence and non-existence of extremals for the following family of Hardy-Sobolev inequalities [Formula presented] which holds for suitable values of A,B∈RN, q>p>1. Here the quantity xA (respectively xB) denotes the monomial weight defined as xA=|x1|a1⋅…⋅|xk|ak(respectively xB=|x1|b1⋅…⋅|xk|bk).

Más información

Título según WOS: Extremals for Hardy-Sobolev type inequalities with monomial weights
Título según SCOPUS: Extremals for Hardy-Sobolev type inequalities with monomial weights
Título de la Revista: Journal of Mathematical Analysis and Applications
Volumen: 494
Número: 2
Editorial: ACADEMIC PRESS INC
Fecha de publicación: 2021
Idioma: English
DOI:

10.1016/j.jmaa.2020.124645

Notas: ISI, SCOPUS