2012/10/03 by Laura Abatangelo, Susanna Terracini, Abatangelo, Laura +1
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Composite Material Mechanics #FOS: Mathematics #Numerical methods in inverse problems
paper · pdf · doi:10.48550/arxiv.1210.1070
openalex publication_date 2012/10/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We characterize the set of positive harmonic functions with Dirichlet boundary conditions in unbounded domains which are union of several different chambers. We analyze the asymptotic behavior of the solutions in connection with the changes in the domain's geometry. Finally we classify all (possibly sign-changing) infinite energy solutions having minimal frequency at the infinite ends of the domain.