MUKHERJEE, Debangana, Phan Thanh NAM and 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, vol. 281, No 5, p. "109092", 45 pp. ISSN 0022-1236. Available from: https://dx.doi.org/10.1016/j.jfa.2021.109092.
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Basic information
Original name Uniqueness of ground state and minimal-mass blow-up solutions for focusing NLS with Hardy potential
Authors MUKHERJEE, Debangana (356 India, belonging to the institution), Phan Thanh NAM and Phuoc Tai NGUYEN (704 Viet Nam, belonging to the institution).
Edition Journal of Functional Analysis, Academic Press Inc. 2021, 0022-1236.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10101 Pure mathematics
Country of publisher United States of America
Confidentiality degree is not subject to a state or trade secret
WWW URL
Impact factor Impact factor: 1.891
RIV identification code RIV/00216224:14310/21:00119018
Organization unit Faculty of Science
Doi http://dx.doi.org/10.1016/j.jfa.2021.109092
UT WoS 000654239200013
Keywords in English Nonlinear Schrodinger equation; Inverse square potential; Hardy-Gagliardo-Nirenberg inequality; Ground state solutions
Tags rivok
Tags International impact, Reviewed
Changed by Changed by: Mgr. Marie Šípková, DiS., učo 437722. Changed: 17/6/2021 15:19.
Abstract
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.
Links
GJ19-14413Y, research and development projectName: Lineární a nelineární eliptické rovnice se singulárními daty a související problémy
Investor: Czech Science Foundation
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