The Existence of Normalized Solutions for a Nonlocal Problem in ℝ3

Author

Yang, Jing

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

Physics

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