3 papers
math.AP2022
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…
math.AP2016
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…
math.AP2014
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…