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Rabinowitz-Floer Homology for Super-quadratic Dirac Equations On Compact spin Manifolds

Published 20 Mar 2013 in math.DG and math.AP | (1303.5008v1)

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.

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