4 citations · 4 across the 7 of their papers we have counts for
7 papers
On the reconstruction of cavities in a nonlinear model arising from cardiac electrophysiology
Elena Beretta, M. Cristina Cerutti, Dario Pierotti +1
In this paper, we deal with the problem of determining perfectly insulating regions (cavities) from one boundary measurement in a nonlinear elliptic equation arising from cardiac e…
On a nonlinear model in domains with cavities arising from cardiac electrophysiology
E. Beretta, M. C. Cerutti, D. Pierotti
In this paper we deal with the problem of determining perfectly insulating regions (cavities) from boundary measurements in a nonlinear elliptic equation arising from cardiac elect…
Ground states for the NLS equation with combined nonlinearities on non-compact metric graphs
Dario Pierotti, Nicola Soave
We investigate the existence of ground states with prescribed mass for the NLS energy with combined -critical and subcritical nonlinearities, on a general non-compact metric g…
Local minimizers in absence of ground states for the critical NLS energy on metric graphs
Dario Pierotti, Nicola Soave, Gianmaria Verzini
We consider the mass-critical nonlinear Schrödinger equation on non-compact metric graphs. A quite complete description of the structure of the ground states, which correspond to g…
Normalized bound states for the nonlinear Schrodinger equation in bounded domains
Dario Pierotti, Gianmaria Verzini
Given , we study the elliptic problem \[ \text{find } (U,λ)\in H^1_0(Ω)\times \mathbb{R} \text{ such that } \begin{cases} -ΔU+λU=|U|^{p-1}U \int_Ω U^2\, dx=ρ, \end{cases} \] w…
Concentration along geodescis for a nonlinear Steklov problem arising in corrosion modelling
Carlo D. Pagani, Dario Pierotti, Angela Pistoia +1
We consider the problem of finding pairs , with and a harmonic function in a three dimensional torus-like domain, satisfying the nonlinear boundary condition $\p…
On a semilinear elliptic boundary value problem arising in cardiac electrophysiology
Elena Beretta, M. Cristina Cerutti, Andrea Manzoni +1
In this paper we provide a representation formula for boundary voltage perturbations caused by internal conductivity inhomogeneities of low volume fraction in a simplified {\em mon…