10 citations · 12 across the 6 of their papers we have counts for
4 papers · 1 filter
Spectral partitions for Sturm-Liouville problems
Paolo Tilli, Davide Zucco
We look for best partitions of the unit interval that minimize certain functionals defined in terms of the eigenvalues of Sturm-Liouville problems. Via Γ-convergence theory, we stu…
Dimensional crossover with a continuum of critical exponents for NLS on doubly periodic metric graphs
Riccardo Adami, Simone Dovetta, Enrico Serra +1
We investigate the existence of ground states for the focusing nonlinear Schroedinger equation on a prototypical doubly periodic metric graph. When the nonlinearity power is below…
An existence result for dissipative nonhomogeneous hyperbolic equations via a minimization approach
Lorenzo Tentarelli, Paolo Tilli
We discuss a purely variational approach to the study of a wide class of second order nonhomogeneous dissipative hyperbolic PDEs. Precisely, we focus on the wave-like equations tha…
Asymptotics of the first Laplace eigenvalue with Dirichlet regions of prescribed length
Paolo Tilli, Davide Zucco
We consider the problem of maximizing the first eigenvalue of the -laplacian (possibly with non-constant coefficients) over a fixed domain , with Dirichlet conditions along $…