| MUKHERJEE, Debangana, Phan Thanh NAM a Phuoc Tai NGUYEN. Uniqueness of ground state and minimal-mass blow-up solutions for focusing NLS with Hardy potential. Journal of Functional Analysis. Academic Press Inc., 2021, roč. 281, č. 5, s. "109092", 45 s. ISSN 0022-1236. Dostupné z: https://dx.doi.org/10.1016/j.jfa.2021.109092. |
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@article{1776702,
author = {Mukherjee, Debangana and Nam, Phan Thanh and Nguyen, Phuoc Tai},
article_number = {5},
doi = {http://dx.doi.org/10.1016/j.jfa.2021.109092},
keywords = {Nonlinear Schrodinger equation; Inverse square potential; Hardy-Gagliardo-Nirenberg inequality; Ground state solutions},
language = {eng},
issn = {0022-1236},
journal = {Journal of Functional Analysis},
title = {Uniqueness of ground state and minimal-mass blow-up solutions for focusing NLS with Hardy potential},
url = {https://doi.org/10.1016/j.jfa.2021.109092},
volume = {281},
year = {2021}
}
TY - JOUR
ID - 1776702
AU - Mukherjee, Debangana - Nam, Phan Thanh - Nguyen, Phuoc Tai
PY - 2021
TI - Uniqueness of ground state and minimal-mass blow-up solutions for focusing NLS with Hardy potential
JF - Journal of Functional Analysis
VL - 281
IS - 5
SP - "109092"
EP - "109092"
PB - Academic Press Inc.
SN - 00221236
KW - Nonlinear Schrodinger equation
KW - Inverse square potential
KW - Hardy-Gagliardo-Nirenberg inequality
KW - Ground state solutions
UR - https://doi.org/10.1016/j.jfa.2021.109092
N2 - We consider the focusing nonlinear Schrodinger equation with the critical inverse square potential. We give the first proof of the uniqueness of the ground state solution. Consequently, we obtain a sharp Hardy-Gagliardo-Nirenberg interpolation inequality. Moreover, we provide a complete characterization for the minimal mass blow-up solutions to the time dependent problem.
ER -
MUKHERJEE, Debangana, Phan Thanh NAM a Phuoc Tai NGUYEN. Uniqueness of ground state and minimal-mass blow-up solutions for focusing NLS with Hardy potential. \textit{Journal of Functional Analysis}. Academic Press Inc., 2021, roč.~281, č.~5, s.~''109092'', 45 s. ISSN~0022-1236. Dostupné z: https://dx.doi.org/10.1016/j.jfa.2021.109092.
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