Existence of solitary wave solutions for the nonlinear Klein-Gordon equation coupled with Born-Infeld theory with critical Sobolev exponent |
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Authors: | Kaimin Teng Kejing Zhang |
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Institution: | a LMAM, School of Mathematics Sciences, Peking University, Beijing, 100871, PR Chinab Department of Mathematics, Taiyuan University of Technology, Taiyuan, Shanxi, PR China |
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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. |
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Keywords: | 34C25 58E30 47H04 |
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