80 citations · 243 across the 22 of their papers we have counts for
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3 papers · 1 filter
math.OC2014★ 2 cited
Where best to place a Dirichlet condition in an anisotropic membrane?
Paolo Tilli, Davide Zucco
We study a shape optimization problem for the first eigenvalue of an elliptic operator in divergence form, with non constant coefficients, over a fixed domain . Dirichlet condit…
math.AP2014★ 3 cited
NLS ground states on graphs
Riccardo Adami, Enrico Serra, Paolo Tilli
We investigate the existence of ground states for the subcritical NLS energy on metric graphs. In particular, we find out a topological assumption that guarantees the nonexistence…
math.AP2014★ 2 cited
Lack of ground state for NLS on bridge-type graphs
Riccardo Adami, Enrico Serra, Paolo Tilli
We prove the nonexistence of ground states for NLS on bridge-like graphs, i.e. graphs with two halflines and four vertices, of which two at infinity, with Kirchhoff matching condit…