73 citations · 413 across the 37 of their papers we have counts for
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Saddle-shaped positive solutions for elliptic systems with bistable nonlinearity
Nicola Soave
In this paper we prove the existence of infinitely many saddle-shaped positive solutions for non-cooperative nonlinear elliptic systems with bistable nonlinearities in the phase-se…
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…
On unique continuation principles for some elliptic systems
Ederson Moreira dos Santos, Gabrielle Nornberg, Nicola Soave
In this paper we prove unique continuation principles for some systems of elliptic partial differential equations satisfying a suitable superlinearity condition. As an application,…
Normalized ground states for the NLS equation with combined nonlinearities: the Sobolev critical case
Nicola Soave
We study existence and properties of ground states for the nonlinear Schrödinger equation with combined power nonlinearities \[ -Δu= λu + μ|u|^{q-2} u + |u|^{2^*-2} u \qquad \text{…