Ground states for nonlinear Maxwell-Dirac system with magnetic field

摘要

In this paper, we study the following Maxwell-Dirac system with magnetic field and general nonlinearity <br>{Sigma(3)(k=1)alpha k(-i partial derivative(k) + A(k))u + a beta u +omega u-beta A(0u) = F-u (x,u), -Delta A(0) = 4 pi(beta u)u-4 pi vertical bar u vertical bar(2), -Delta A(k) = 4 pi(alpha(k)u)u, k= 1,2,3, <br>for x is an element of R-3. Since this problem is strongly indefinite, we use linking and concentration compactness arguments to establish the existence of ground state solutions for this system.

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