P. Caldiroli

activity

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

collaborators

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4 papers · 1 filter

math.FA2013

Radial and non radial ground states for a class of dilation invariant fourth order semilinear elliptic equations on $R^{n}$

Paolo Caldiroli

We prove existence of extremal functions for some Rellich-Sobolev type inequalities involving the $L^{2}$ norm of the Laplacian as a leading term and the $L^{2}$ norm of the gradie…

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 $Ω$ be a cone in $R^{n}$ with $n \geq 2$ . For every fixed $α \in R$ we find the best constant in the Rellich inequality $\int_Ω|x|^α|Δu|^{2}dx\ge C\int_Ω|x|^{α-4}…

Radial and non radial ground states for a class of dilation invariant fourth order semilinear elliptic equations on Rn

A class of second order dilation invariant inequalities

Caffarelli-Kohn-Nirenberg type inequalities for the weighted biharmonic operator: existence of extremal functions, breaking positivity and breaking symmetry

Rellich inequalities with weights

Radial and non radial ground states for a class of dilation invariant fourth order semilinear elliptic equations on $R^{n}$