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

Mukherjee, Debangana; Phan, Thanh Nam und Phuoc-Tai, Nguyen (2021): Uniqueness of ground state and minimal-mass blow-up solutions for focusing NLS with Hardy potential. In: Journal of Functional Analysis, Vol. 281, No. 5, 109092

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. (C) 2021 Elsevier Inc. All rights reserved.

• Item Type: Journal article
• Faculties: Mathematics, Computer Science and Statistics > Mathematics
• Subjects: 500 Science > 510 Mathematics
• ISSN: 0022-1236
• Language: English