ON GROUND STATE SOLUTIONS FOR SUPERLINEAR DIRAC EQUATION  

作　　者：张健 唐先华 张文 

机构地区：[1]School of Mathematics and Statistics,Central South University

出　　处：《Acta Mathematica Scientia》2014年第3期840-850,共11页数学物理学报（B辑英文版）

基　　金：supported by the Hunan Provincial Innovation Foundation for Postgraduate(CX2013A003);the NNSF(11171351,11361078);SRFDP(20120162110021)of China

摘　　要：This article is concerned with the nonlinear Dirac equations-iδtψ=ich ∑k=1^3 αkδkψ-mc^2βψ＋Rψ（x,ψ） in R^3.Under suitable assumptions on the nonlinearity, we establish the existence of ground state solutions by the generalized Nehari manifold method developed recently by Szulkin and Weth.This article is concerned with the nonlinear Dirac equations-iδtψ=ich ∑k=1^3 αkδkψ-mc^2βψ＋Rψ（x,ψ） in R^3.Under suitable assumptions on the nonlinearity, we establish the existence of ground state solutions by the generalized Nehari manifold method developed recently by Szulkin and Weth.

关 键 词：Nonlinear Dirac equation ground state solutions generalized Nehari manifold strongly indefinite functionals 

分 类 号：O175[理学—数学]