Hardy–Sobolev inequalities involving mixed radially and cylindrically symmetric weights

Communications in Contemporary Mathematics 2026 Open access

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Authors: Gabriele Cora, Roberta Musina, Alexander Il'ich Nazarov
DOI: 10.1142/s0219199726500306
Cited by: 0

Abstract

We deal with weighted Hardy–Sobolev type inequalities for functions on [Formula: see text], [Formula: see text]. The weights involved are anisotropic, given by products of powers of the distance to the origin and to a nontrivial subspace. We establish necessary and sufficient conditions for validity of these inequalities, and investigate the existence/nonexistence of extremal functions.

Fields of Study & Subjects

Differential Equations and Boundary Problems Nonlinear Partial Differential Equations Fatigue and fracture mechanics

Publication details

Journal / source
Communications in Contemporary Mathematics
Publication date
20 February 2026
Language
EN