For K-wise coupled nonlinear Schrödinger systems, the authors prove a sharp β-threshold separating semi-trivial from fully non-trivial ground states, and show that as β → -∞ only two components fully segregate while the rest remain positive scalar ground states.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.AP 1years
2025 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
On least energy solutions for a nonlinear Schr\"odinger system with $K$-wise interaction
For K-wise coupled nonlinear Schrödinger systems, the authors prove a sharp β-threshold separating semi-trivial from fully non-trivial ground states, and show that as β → -∞ only two components fully segregate while the rest remain positive scalar ground states.