31 citations · 165 across the 31 of their papers we have counts for
32 papers · 1 filter
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^…
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…
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],…
Planar loops with prescribed curvature via Hardy's inequality
Gabriele Cora, Roberta Musina
We investigate the existence of closed planar loops with prescribed curvature. Our approach is variational, and relies on a Hardy type inequality and its associated functional spac…
Hardy type inequalities with mixed weights in cones
Gabriele Cora, Roberta Musina, Alexander I. Nazarov
We study Hardy type inequalities involving mixed cylindrical and spherical weights, for functions supported in cones. These inequalities are related to some singular or degenerate…
Fractional operators as traces of operator-valued curves
Roberta Musina, Alexander I. Nazarov
We relate non integer powers , of a given (unbounded) positive self-adjoint operator in a real separable Hilbert space with a cert…