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The Existence of Normalized Solutions for a Nonlocal Problem in ℝ3
Author
Source
Advances in Mathematical Physics
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-02-05
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
In this paper, we study the following fractional Schrödinger equation in ℝ3−Δσu−λu=up−2u, in ℝ3 with σ∈0,1,λ∈ℝ and p∈2+σ,2+4/3σ.
By using the constrained variational method, we show the existence of solutions with prescribed L2 norm for this problem.
American Psychological Association (APA)
Yang, Jing. 2020. The Existence of Normalized Solutions for a Nonlocal Problem in ℝ3. Advances in Mathematical Physics،Vol. 2020, no. 2020, pp.1-8.
https://search.emarefa.net/detail/BIM-1127355
Modern Language Association (MLA)
Yang, Jing. The Existence of Normalized Solutions for a Nonlocal Problem in ℝ3. Advances in Mathematical Physics No. 2020 (2020), pp.1-8.
https://search.emarefa.net/detail/BIM-1127355
American Medical Association (AMA)
Yang, Jing. The Existence of Normalized Solutions for a Nonlocal Problem in ℝ3. Advances in Mathematical Physics. 2020. Vol. 2020, no. 2020, pp.1-8.
https://search.emarefa.net/detail/BIM-1127355
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1127355