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math.AP2012★ 4 cited
Positive harmonic functions in union of chambers
Laura Abatangelo, Susanna Terracini
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 asympto…
math.AP2012
Singularity of eigenfunctions at the junction of shrinking tubes. Part I
Veronica Felli, Susanna Terracini
Consider two domains connected by a thin tube: it can be shown that, generically, the mass of a given eigenfunction of the Dirichlet Laplacian concentrates in only one of them. The…