Abstract
We consider super-linear and sub-linear nonlinear Dirac equations on compact spin manifolds. Their solutions are obtained as critical points of certain strongly indefinite functionals on a Hilbert space. For both cases, we establish existence results via Galerkin type approximations and linking arguments. For a particular case of odd nonlinearities, we prove the existence of infinitely many solutions.
Full Text
Sign-in/Register to access full text options
Published version (Free)
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have