3 papers
math.AP2026
Hardy-Sobolev inequalities involving mixed radially and cylindrically symmetric weights
Gabriele Cora, Roberta Musina, Alexander I. Nazarov
We deal with weighted Hardy-Sobolev type inequalities for functions on , . The weights involved are anisotropic, given by products of powers of the distance…
math.AP2025
Non-radial minimizers for Hardy--Sobolev inequalities in non-convex cones
A. I. Nazarov, N. V. Rastegaev
The symmetry breaking is obtained for Neumann problems driven by -Laplacian in certain non-convex cones. These problems are generated by the Hardy--Sobolev inequalities. In the…
math.AP2024
Hardy type inequalities with mixed cylindrical-spherical weights: the general case
Roberta Musina, Alexander I. Nazarov
We continue our investigation of Hardy-type inequalities involving combinations of cylindrical and spherical weights. Compared to [Cora-Musina-Nazarov, Ann. Sc. Norm. Sup., 2024],…