Rabinowitz-Floer Homology for Super-quadratic Dirac Equations On Compact spin Manifolds
Differential Geometry
2013-03-21 v1 Analysis of PDEs
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.
Keywords
Cite
@article{arxiv.1303.5008,
title = {Rabinowitz-Floer Homology for Super-quadratic Dirac Equations On Compact spin Manifolds},
author = {Ali Maalaoui},
journal= {arXiv preprint arXiv:1303.5008},
year = {2013}
}
Comments
25 pages, 2 figures, To appear in Journal of Fixed Point Theory and Applications