31 citations · 165 across the 31 of their papers we have counts for
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math.FA2012
A class of second order dilation invariant inequalities
Paolo Caldiroli, Roberta Musina
We compute the best constants in some second order dilation invariant inequalities, with weights being powers of the distance from the origin.
math.FA2011
Caffarelli-Kohn-Nirenberg type inequalities for the weighted biharmonic operator: existence of extremal functions, breaking positivity and breaking symmetry
Paolo Caldiroli, Roberta Musina
We investigate Caffarelli-Kohn-Nirenberg type inequalities for the weighted biharmonic operator on cones, both under Navier and Dirichlet boundary conditions. Moreover, we study ex…
math.FA2011★ 4 cited
Rellich inequalities with weights
Paolo Caldiroli, Roberta Musina
Let be a cone in with . For every fixed we find the best constant in the Rellich inequality $\int_Ω|x|^α|Δu|^{2}dx\ge C\int_Ω|x|^{α-4}…