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math.CA2014
Positive solutions with a complex behavior for superlinear indefinite ODEs on the real line
Vivina Barutello, Alberto Boscaggin, Gianmaria Verzini
We show the existence of infinitely many positive solutions, defined on the real line, for the nonlinear scalar ODE \[ \ddot u + (a^+(t) - μa^-(t)) u^3 = 0, \] where is a perio…
math.AP2014
Stable solitary waves with prescribed -mass for the cubic Schrödinger system with trapping potentials
Benedetta Noris, Hugo Tavares, Gianmaria Verzini
For the cubic Schrödinger system with trapping potentials in , , or in bounded domains, we investigate the existence and the orbital stability of standing wav…