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Stationary solutions for a superlinear Dirac equation
Authors:Wen Zhang  Xianhua Tang  Jian Zhang
Institution:School of Mathematics and Statistics, Central South University, Changsha, Hunan, China
Abstract:K. Guerlebeck In this paper, we consider the following nonlinear Dirac equation urn:x-wiley:mma:media:mma3522:mma3522-math-0001 By applying the variant generalized weak linking theorem for strongly indefinite problem developed by Schechter and Zou, we prove the existence of nontrivial and ground state solutions for the aforementioned system under conditions weaker than those in Zhang et al. (Journal of Mathematical Physics, 2013). John Wiley & Sons, Ltd.
Keywords:Dirac equation  stationary solutions  generalized linking theorem
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