Ground states for the nonlinear Schrödinger equation under a general trapping potential
Author:
Funder
National Science Foundation
Publisher
Springer Science and Business Media LLC
Subject
Mathematics (miscellaneous)
Link
https://link.springer.com/content/pdf/10.1007/s00028-020-00596-9.pdf
Reference18 articles.
1. J. Byeon, Y. Oshita, Uniqueness of standing waves for nonlinear Schrödinger equations, Proc. Roy. Soc. Edinburgh Sect. A138 (2008), no. 5, p. 975–987.
2. R. Carles Remarks on nonlinear Schödinger equations with harmonic potential, Ann. Henri Poincaré3 (2002), p. 757–772.
3. M. Cheng, Bound state for the fractional Schrödinger equation with unbounded potential, J. Math. Phys., 53, (2012), no. 4, 043507, 7 pp.
4. W. Feng, M. Stanislavova, A. Stefanov, On the spectral stability of ground states of semi-linear Schrödinger and Klein-Gordon equations with fractional dispersion., Commun. Pure Appl. Anal., 17, (2018), no. 4, p. 1371–1385.
5. R. Frank and E. Lenzmann, Uniqueness of non-linear ground states for fractional Laplacians in $${\mathbb{R}}$$, Acta Math., 210 (2013), 261–318.
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