most citedOrbital and asymptotic stability for standing waves of a NLS equation with concentrated nonlinearity in dimension three

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math.AP2012★ 2 cited

Non-dispersive vanishing and blow up at infinity for the energy critical nonlinear Schrödinger equation in R^3

Cecilia Ortoleva, Galina Perelman

We consider the energy critical focusing NLS in R^3 and prove, for any sufficiently small, the existence of radial finite energy solutions that as behave as a sum…