  By using the Ljusternik-Schnirelman principle, we establish the existence of
a nondecreasing sequence of nonnegative eigenvalues for the p-Dirac operator on
compact spin manifold. Using the biorthogonal system theory on separable Banach
space and some critical point theorems, we prove the existence and multiplicity
of solutions to p-superlinear and p-sublinear nonlinear p-Dirac equations on
compact spin manifold.
