Soliton solutions to a class of relativistic nonlinear Schrödinger equations

Yongkuan Cheng and Yangxin Yao

Applied Mathematics and Computation, 2015, vol. 260, issue C, 342-350

Abstract: 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.

Keywords: Schrödinger equations; Mountain pass theorem; Soliton solutions (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:260:y:2015:i:c:p:342-350

DOI: 10.1016/j.amc.2015.03.055

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