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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@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 and 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, 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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