Volume 38, Issue 8 pp. 1485-1493
Research Article

Infinitely many large energy solutions for superlinear Dirac equations

Jian Zhang

Jian Zhang

School of Mathematics and Statistics, Central South University, Changsha, 410083 Hunan, China

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Xianhua Tang

Corresponding Author

Xianhua Tang

School of Mathematics and Statistics, Central South University, Changsha, 410083 Hunan, China

Correspondence to: Xianhua Tang, School of Mathematics and Statistics, Central South University, Changsha, 410083 Hunan, China.

E-mail: [email protected]

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Wen Zhang

Wen Zhang

School of Mathematics and Statistics, Central South University, Changsha, 410083 Hunan, China

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First published: 13 May 2014
Citations: 1

Abstract

This paper is concerned with the nonlinear Dirac equations

urn:x-wiley:1704214:media:mma3162:mma3162-math-0001

Under suitable assumptions on the nonlinearity, we establish the existence of infinitely many large energy solutions by the generalized variant fountain theorem developed recently by Batkam and Colin. Copyright © 2014 John Wiley & Sons, Ltd.

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