Acta mathematica scientia, Series B >
ON GROUND STATE SOLUTIONS FOR SUPERLINEAR DIRAC EQUATION
Received date: 2013-05-23
Revised date: 2013-10-29
Online published: 2014-05-20
Supported by
This work is partially supported by the Hunan Provincial Innovation Foundation for Postgraduate (CX2013A003) and the NNSF (11171351, 11361078) and SRFDP (20120162110021) of China.
This article is concerned with the nonlinear Dirac equations
-i∂t φ= ich φ −mc2β φ + R φ(x, φ ) in R3.
Under suitable assumptions on the nonlinearity, we establish the existence of ground state solutions by the generalized Nehari manifold method developed recently by Szulkin andWeth.∑3k=1αk∂k
ZHANG Jian , TANG Xian-Hua , ZHANG Wen . ON GROUND STATE SOLUTIONS FOR SUPERLINEAR DIRAC EQUATION[J]. Acta mathematica scientia, Series B, 2014 , 34(3) : 840 -850 . DOI: 10.1016/S0252-9602(14)60054-0
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