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Infinitely many large energy solutions for superlinear Dirac equations
Author(s) -
Zhang Jian,
Tang Xianhua,
Zhang Wen
Publication year - 2014
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3162
Subject(s) - fountain , mathematics , dirac (video compression format) , nonlinear system , energy (signal processing) , mathematical physics , dirac equation , mathematical analysis , quantum mechanics , physics , statistics , archaeology , neutrino , history
This paper is concerned with the nonlinear Dirac equations − i ∂ t ψ = ic h ¯∑ k = 1 3α k∂ k ψ − m c 2 βψ + R ψ( x , ψ )inR 3 .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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