Normalized ground states and a mass-constrained scattering threshold for the inhomogeneous NLS with an inverse-square potential QSYZKPFRAN

URI	`m2://res/QSYZKPFRAN`
Kind	preprint
Creators	Mohamed Majdoub, Tarek Saanouni
Date	2026-10-02
MSC	35-XX
Subjects	arxiv math.AP
Scope	in

Expressions

The mentions of the inventory that name this resource. Each name links to the card of its inventory row.

Item	Kind	Where	Source
Euler--Lagrange equation	statement	lemma 3.3	arxiv
The least-action level	statement	proposition 3.1	arxiv
Virial identity	statement	lemma 2.5	arxiv
1PC8T7MY9K	definition	definition 2.1	arxiv
Mass-constrained dichotomy	statement	theorem 1.2	arxiv
428KHXGT88	statement	lemma 2.1	arxiv
Exponential decay	statement	proposition 5.1	arxiv
Strong instability of normalized ground states	statement	theorem 1.4	arxiv
9CJAVEGVJD	problem	problem 1.1	arxiv
Uniform threshold up to the Hardy endpoint	statement	proposition 6.2	arxiv
Sharp Gagliardo--Nirenberg inequality	statement	proposition 2.3	arxiv
Equivalence with the scale-invariant threshold	statement	theorem 1.3	arxiv
Persistence of finite variance	statement	lemma 2.4	arxiv
EBGV5FNAGE	statement	lemma 2.3	arxiv
Equivalence of Sobolev spaces	statement	proposition 2.1	arxiv
Scattering criterion	statement	proposition 4.1	arxiv
Local theory	statement	proposition 2.4	arxiv
Coercivity below the level	statement	lemma 4.1	arxiv
Mass-critical threshold	statement	proposition 6.1	arxiv
The normalized level	statement	theorem 1.1	arxiv
Invariance of the sign	statement	lemma 4.2	arxiv
The fibering map	statement	lemma 3.1	arxiv
Monotonicity in the coupling	statement	proposition 1.1	arxiv
YF966JBJR5	statement	lemma 2.2	arxiv
Strichartz estimates	statement	proposition 2.2	arxiv
Minimax characterization, cf.\	statement	lemma 3.2	arxiv