Infinitely many solutions for a class of nonlinear Dirac equations without symmetry

This paper is concerned with the multiplicity of solutions for the nonlinear Dirac equations: −i∑k=13αk∂ku+(V(x)+a)βu+ωu=Fu(x,u). Without symmetry assumption on FF, we establish the existence of infinitely many geometrically distinct solutions for superquadratic as well as asymptotically quadratic nonlinearities via variational approach.