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math.AP2020
Ground states for the NLS equation with combined nonlinearities on non-compact metric graphs
Dario Pierotti, Nicola Soave
We investigate the existence of ground states with prescribed mass for the NLS energy with combined -critical and subcritical nonlinearities, on a general non-compact metric g…
math.AP2019
Local minimizers in absence of ground states for the critical NLS energy on metric graphs
Dario Pierotti, Nicola Soave, Gianmaria Verzini
We consider the mass-critical nonlinear Schrödinger equation on non-compact metric graphs. A quite complete description of the structure of the ground states, which correspond to g…
math.AP2015
Concentration along geodescis for a nonlinear Steklov problem arising in corrosion modelling
Carlo D. Pagani, Dario Pierotti, Angela Pistoia +1
We consider the problem of finding pairs , with and a harmonic function in a three dimensional torus-like domain, satisfying the nonlinear boundary condition $\p…