For powers 2 ≤ p < 7/3, two sufficiently close radial positive energy minimizers of the generalized Choquard functional must be identical, and minimizing the energy is equivalent to saturating the Gagliardo-Nirenberg inequality.
Kwong, Uniqueness of positive solutions of ∆ u − u + up = 0, Arch
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.AP 1years
2019 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Orbital stability of solitary waves for the generalized Choquard model
For powers 2 ≤ p < 7/3, two sufficiently close radial positive energy minimizers of the generalized Choquard functional must be identical, and minimizing the energy is equivalent to saturating the Gagliardo-Nirenberg inequality.