Solitary waves for nonlinear Klein-Gordon equations coupled with Born-Infeld theory

DOI10.1016/j.anihpc.2009.11.001zbMath1184.35286OpenAlexW1966174732MaRDI QIDQ846398

Yong Yu

Publication date: 9 February 2010

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.anihpc.2009.11.001

zbMATH Keywords

asymptotic behaviorsolitary waveKlein-Gordon equationBorn-Infeld theory

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Soliton solutions (35C08) Positive solutions to PDEs (35B09)

Related Items

Cauchy problem for the nonlinear Klein-Gordon equation coupled with the Maxwell equation ⋮ On the electrostatic Born-Infeld equation with extended charges ⋮ On the solitary solutions for the nonlinear Klein-Gordon equation coupled with Born-Infeld theory ⋮ Existence and multiplicity of sign-changing solutions for Klein-Gordon equation coupled with Born-Infeld theory with subcritical exponent ⋮ On the Schrödinger-Born-Infeld system ⋮ The quasilinear Schrödinger–Poisson system ⋮ Multiple solutions for a nonhomogeneous Schrödinger-Born-Infeld system ⋮ Existence and asymptotic behavior of solutions for the Schrödinger-Born-Infeld system with steep potential well ⋮ Existence of solutions for critical Klein-Gordon equations coupled with Born-Infeld theory in higher dimensions ⋮ Nontrivial solution for Klein-Gordon equation coupled with Born-Infeld theory with critical growth ⋮ Vortex ground states for Klein-Gordon-Maxwell-Proca type systems ⋮ Unnamed Item ⋮ On the regularity of the minimizer of the electrostatic Born-Infeld energy ⋮ Unnamed Item ⋮ Existence of solitary wave solutions for the nonlinear Klein-Gordon equation coupled with Born-Infeld theory with critical Sobolev exponent ⋮ A perturbation approach for the Schrödinger-Born-Infeld system: solutions in the subcritical and critical case ⋮ Ground state solution for the nonlinear Klein-Gordon equation coupled with Born-Infeld theory with critical exponents

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