带有次线性项和超线性项的Klein-Gordon-Maxwell系统多重解的存在性

Acta mathematica scientia,Series A ›› 2017, Vol. 37 ›› Issue (4): 663-670.

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Existence of Infinitely Many Solutions to a Class of Klein-Gordon-Maxwell System with Superlinear and Sublinear Terms

Chen Lizhen¹, Li Anran², Li Gang³

1 Department of Applied Mathematics, Shanxi University of Finance and Economics, Taiyuan 030006;
2 School of Mathematical Sciences, Shanxi University, Taiyuan 030006;
3 School of Mathematical Sciences, Yangzhou University, Jiangsu Yangzhou 225002

Received:2016-11-17 Revised:2017-04-09 Online:2017-08-26 Published:2017-08-26
Supported by:
Supported by the NSFC (11271316) and the Youth Fund of Shanxi University of Finance and Economics (Z06045)

Abstract

Abstract:

In this paper, we establish the multiplicity of solutions for the Klein-GordonMaxwell system

where 4 < p < 6, 1 < q < 2, λ > 0. Under some assumptions on the a(x),b(x),λ, the multiplicity result of solutions for the system was obtained by variational methods. Our result is a complement to some recent works concerning the existence of solutions of the above equation.

Key words: Klein-Gordon-Maxwell system, Superlinear and sublinear, Infinitely many solutions, Variational methods

CLC Number:

O176.3

Chen Lizhen, Li Anran, Li Gang. Existence of Infinitely Many Solutions to a Class of Klein-Gordon-Maxwell System with Superlinear and Sublinear Terms[J].Acta mathematica scientia,Series A, 2017, 37(4): 663-670.

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References

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Existence of Infinitely Many Solutions to a Class of Klein-Gordon-Maxwell System with Superlinear and Sublinear Terms

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