3 papers
math.AP2026
On the asymptotic behaviour of the restricted Dirichlet Laplacian of real order on stretching tubes
Roberta Musina, Giulio Romani
We study spectral and variational properties of the (possibly) fractional Dirichlet Laplacian , , on bounded subsets of $\mathbb R^n\times\mathbb R^…
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.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],…