Nontrivial Solution of the Coupled Klein-Gordon-Born-Infeld Equation
A nonlinear Klein-Gordon-Bom-Infeld system with radial potential is studied.Under the as-sumption of nonlinear term,embedding theorem in weighted Sobolev space is introduced,and variations,mountain pass theorem,symmetric mountain pass theorem are used.The existence of nontrivial solution and high energy sequence solutions in weighted Sobolev space is established.
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