10 citations · 12 across the 6 of their papers we have counts for
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math.AP2018
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…
math.AP2018
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…
math.AP2018
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 $…