Dipartimento di Scienze e Tecnologie
Universitá di Napoli "Parthenope''
Centro Direzionale di Napoli
Isola C4, 80143 Napoli, Italy
email: annalisa.amadori@uniparthenope.it
Anna Lisa Amadori
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.
Submitted December 28, 2025. Published January 28, 2026.
Math Subject Classifications: 35J50, 35B05.
Key Words: Coupled nonlinear Schrodinger equation; nodal and seminodal solution;
least energy solution; simmetry breaking
DOI: 10.58997/ejde.2026.08
Show me the PDF file (368 KB), TEX file for this article.
|
Anna Lisa Amadori Dipartimento di Scienze e Tecnologie Universitá di Napoli "Parthenope'' Centro Direzionale di Napoli Isola C4, 80143 Napoli, Italy email: annalisa.amadori@uniparthenope.it |
|---|
Return to the EJDE web page