Soliton solutions to a class of relativistic nonlinear Schrödinger equations

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摘要

By using a change of variables, we get new equations, whose respective associated functionals are well defined in H1(RN) and satisfy the geometric hypotheses of the mountain pass theorem. Using this fact, we obtain a nontrivial solution.

论文关键词:Schrödinger equations,Mountain pass theorem,Soliton solutions

论文评审过程:Received 2 February 2013, Revised 24 October 2014, Accepted 14 March 2015, Available online 9 April 2015.

论文官网地址:https://doi.org/10.1016/j.amc.2015.03.055