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20112022
most citedOn the dynamics of a charged particle in magnetic fields with cylindrical symmetry

5 citations · 9 across the 7 of their papers we have counts for

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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}…