Bound state for the fractional Schrödinger equation with unbounded potential
- 1 April 2012
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 53 (4)
- https://doi.org/10.1063/1.3701574
Abstract
This paper considers the fractional Schrödinger equation with unbounded potential. We prove the existence of ground state by Lagrange multiplier method. The standing wave with prescribed frequency is also obtained by Nehari's manifold approach. In the last part, we obtain that the standing wave is bound state.Keywords
Funding Information
- National Natural Science Foundation of China (11171130, 11171132)
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