3 papers
math.AP2025
Gamma Convergence of Partially Segregated Elliptic Systems
Farid Bozorgnia, Avetik Arakelyan
We study partially segregated elliptic systems through the use of penalized energy functionals. These systems arise from the minimization of Gross-Pitaevskii-type energies that cap…
math.NA2022
Graph Based Semi-supervised Learning Using Spatial Segregation Theory
Farid Bozorgnia, Morteza Fotouhi, Avetik Arakelyan +1
In this work we address graph based semi-supervised learning using the theory of the spatial segregation of competitive systems. First, we define a discrete counterpart over connec…
math.SP2019
Approximation of the second eigenvalue of the -Laplace operator in symmetric domains
Farid Bozorgnia
A new idea to approximate the second eigenfunction and the second eigenvalue of -Laplace operator is given. In the case of the Dirichlet boundary condition, the scheme has the r…