On the solitary solutions for the nonlinear Klein-Gordon equation coupled with Born-Infeld theory
Author:
Affiliation:
1. School of Mathematics, Liaoning Normal University, Dalian, China
Abstract
Publisher
National Academy of Sciences of the Republic of Armenia
Reference17 articles.
1. F. S. B. Albuquerque, S.-J. Chen, and L. Li, “Solitary wave of ground state type for a nonlinear Klein-Gordon equation coupled with Born-Infeld theory in R2 ”, Electron. J. Qual. Theory Differ. Equ., pages Paper No. 12, 18 (2020).
2. V. Benci and D. Fortunato, “Solitary waves of the nonlinear Klein-Gordon equation coupled with the Maxwell equations”, Rev. Math. Phys., 14 (4), 409 – 420 (2002).
3. H. Br´ezis and L. Nirenberg, “Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents”, Comm. Pure Appl. Math., 36(4), 437 – 477 (1983).
4. P. C. Carri˜ao, P. L. Cunha and O. H. Miyagaki, “Existence results for the Klein-Gordon Maxwell equations in higher dimensions with critical exponents”, Commun. Pure Appl. Anal., 10(2), 709 – 718 (2011).
5. D. Cassani, “Existence and non-existence of solitary waves for the critical Klein-Gordon equation coupled with Maxwell’s equations”, Nonlinear Anal., 58 (7-8), 733 – 747 (2004).
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