In this article we characterize the least energy nodal and semi-nodal solutions to some Schrodinger system as the minimum on constrained Nehari sets of codimension 4 and 3, respectively; thus allowing to compute their Morse index and the exact number of nodal domains. Next the focus is on the symmetry properties of the sign-changing solutions. We show that, even though the domain is a ball, ground states are not radial, and produce other non-radial solutions with the given symmetry.
On nodal ground states for Schrodinger systems,
Anna Lisa Amadori
2026-01-01
Abstract
In this article we characterize the least energy nodal and semi-nodal solutions to some Schrodinger system as the minimum on constrained Nehari sets of codimension 4 and 3, respectively; thus allowing to compute their Morse index and the exact number of nodal domains. Next the focus is on the symmetry properties of the sign-changing solutions. We show that, even though the domain is a ball, ground states are not radial, and produce other non-radial solutions with the given symmetry.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
