Uniqueness of ground state and minimal-mass blow-up solutions for focusing NLS with Hardy potential

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F21%3A00119018" target="_blank" >RIV/00216224:14310/21:00119018 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.jfa.2021.109092" target="_blank" >https://doi.org/10.1016/j.jfa.2021.109092</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jfa.2021.109092" target="_blank" >10.1016/j.jfa.2021.109092</a>

Result language
angličtina
Original language name
Uniqueness of ground state and minimal-mass blow-up solutions for focusing NLS with Hardy potential
Original language description
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.
Czech name
—
Czech description
—

Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GJ19-14413Y" target="_blank" >GJ19-14413Y: Linear and nonlinear elliptic equations with singular data and related problems</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)