31 citations · 165 across the 31 of their papers we have counts for
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Non-critical dimensions for critical problems involving fractional Laplacians
Roberta Musina, Alexander I. Nazarov
We study the Brezis--Nirenberg effect in two families of noncompact boundary value problems involving Dirichlet-Laplacian of arbitrary real order .
On fractional Laplacians
Roberta Musina, Alexander I. Nazarov
We compare two natural types of fractional Laplacians , "Navier" and "Dirichlet" ones. We show that for their difference is positive definite and positivity preserv…
Symmetry breaking of extremals for the Caffarelli-Kohn-Nirenberg inequalities in a non-Hilbertian setting
Paolo Caldiroli, Roberta Musina
We provide an explicit necessary condition to have that no extremal for the best constant in the Caffarelli-Kohn-Nirenberg inequality is radially symmetric.
Optimal Rellich-Sobolev constants and their extremals
Roberta Musina
We prove that extremals for second order Rellich-Sobolev inequalities have constant sign. Then we show that the optimal constants in Rellich-Sobolev inequalities on a bounded domai…
Radially symmetric solutions to the Hènon-Lane-Emden system on the critical hyperbola
Roberta Musina, K. Sreenadh
We use variational methods to study the existence of nontrivial and radially symmetric solutions to the Hènon-Lane-Emden system with weights, when the exponents involved lie on the…