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Existence of solitary wave solutions for the nonlinear Klein-Gordon equation coupled with Born-Infeld theory with critical Sobolev exponent
Authors:Kaimin Teng  Kejing Zhang
Institution:
  • a LMAM, School of Mathematics Sciences, Peking University, Beijing, 100871, PR China
  • b Department of Mathematics, Taiyuan University of Technology, Taiyuan, Shanxi, PR China
  • Abstract:In this paper, we prove the existence of solutions for the nonlinear Klein-Gordon equation coupled with Born-Infeld theory under the electrostatic solitary wave ansatz by using variational methods.
    Keywords:34C25  58E30  47H04
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