Rabinowitz-Floer Homology for Super-quadratic Dirac Equations On Compact spin Manifolds
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🧮 math.DG
math.AP
keywords
dirachomologyrabinowitz-floerspinapplicationcompactcomputationconstruction
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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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