一类带局部非线性项的静态狄拉克方程的多重周期解

Abstract

Abstract:

In this paper, we mainly study multiple periodic solutions for a class of stationary Dirac equations with local nonlinearity via variational methods. Under some fairly mild conditions on the nonlinearity, we show that the existence of a sequence of nontrivial periodic solutions is rather a local phenomenon, which is only forced by the sublinearity of the nonlinearity near the origin. Meanwhile, some recent results from the literature are generalized and essentially improved.

Key words: Dirac equation, Periodic solution, Variational method, Local nonlinearity

CLC Number:

O175

Qingye Zhang,Bin Xu. Multiple Periodic Solutions for a Class of Stationary Dirac Equations with Local Nonlinearity[J].Acta mathematica scientia,Series A, 2021, 41(4): 1013-1023.

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References 23

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Multiple Periodic Solutions for a Class of Stationary Dirac Equations with Local Nonlinearity

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