5 papers
Miminization of the first eigenvalue of the Dirichlet Laplacian with a small volume obstacle
Benedetta Noris, Giovanni Siclari, Gianmaria Verzini
We consider the well-known shape optimization problem with spectral cost: minimizing the first eigenvalue of the Dirichlet Laplacian among all subdomains having prescribed vol…
An Orlicz space approach to exponential elliptic problems in higher dimensions
Alberto Boscaggin, Francesca Colasuonno, Benedetta Noris +1
We consider semilinear elliptic problems of the form \[ -Îu + λu = f(x,u), \quad u\in H^1_0(A), \] where , , is either a bounded or unbounded annulu…
Multiplicity and symmetry breaking for supercritical elliptic problems in exterior domains
Alberto Boscaggin, Francesca Colasuonno, Benedetta Noris +1
We deal with the following semilinear equation in exterior domains \[-Îu + u = a(x)|u|^{p-2}u,\qquad u\in H^1_0({A_R}), \] where , $N\ge…
On Aharonov-Bohm operators with multiple colliding poles of any circulation
Veronica Felli, Benedetta Noris, Giovanni Siclari
This paper deals with quantitative spectral stability for Aharonov-Bohm operators with many colliding poles of whichever circulation. An equivalent formulation of the eigenvalue pr…
Continuous dependence for p-Laplace equations with varying operators
Francesca Colasuonno, Benedetta Noris, Elisa Sovrano
For the following Neumann problem in a ball $$\begin{cases} -Î_p u+u^{p-1}=u^{q-1}\quad&\text{in }B,\\ u>0,\,u\text{ radial}\quad&\text{in }B,\\ \frac{\partial u}{\partial ν}=0\q…