Existence and asymptotic behavior of solutions for the Schrödinger–Born–Infeld system with steep potential well-Reference-Cited by-同舟云学术

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Existence and asymptotic behavior of solutions for the Schrödinger–Born–Infeld system with steep potential well

Published:2023-11-28 Issue:6 Volume:74 Page:
ISSN:0044-2275
Container-title:Zeitschrift für angewandte Mathematik und Physik
language:en
Short-container-title:Z. Angew. Math. Phys.

Author:

Wang Fenqi,Sun Jijiang,Chen Jianhua

Funder

National Natural Science Foundation of China

Natural Science Foundation of Jiangxi Province

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Physics and Astronomy,General Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s00033-023-02138-y.pdf

Reference36 articles.

1. Azzollini, A., Pomponio, A., Siciliano, G.: On the Schrödinger–Born–Infeld system. Bull. Braz. Math. Soc. 50, 275–289 (2019)

2. Bartsch, T., Pankov, A., Wang, Z.-Q.: Nonlinear Schrödinger equations with steep potential well. Commun. Contemp. Math. 3, 549–569 (2001)

3. Bartsch, T., Wang, Z.-Q.: Existence and multiplicity results for superlinear elliptic problems on $$\mathbb{R} ^N$$. Commun. Partial Differ. Equ. 20, 1725–1741 (1995)

4. Benci, V., Fortunato, D.: An eigenvalue problem for the Schrödinger–Maxwell equations. Top. Meth. Nonlinear Anal. 11, 283–293 (1998)

5. Benmilh, K., Kavian, O.: Existence and asymptotic behaviour of standing waves for quasilinear Schrödinger–Poisson systems in $$\mathbb{R} ^3$$. Ann. Inst. Henri Poincaré Anal. Non Linéaire 25, 449–470 (2008)

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