Rabinowitz-Floer Homology for Super-quadratic Dirac Equations On Compact spin Manifolds
arXiv:1303.5008
Abstract
In this paper we investigate the properties of a semi-linear problem on a spin manifold involving the Dirac operator, through the construction of Rabinowitz-Floer homology groups. We give several existence results for sub-critical and critical non-linearities as application of the computation of the different homologies.
25 pages, 2 figures, To appear in Journal of Fixed Point Theory and Applications