Solutions of Dirac equations on compact spin manifolds via saddle point reduction (Q523332)
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scientific article; zbMATH DE number 6706618
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| English | Solutions of Dirac equations on compact spin manifolds via saddle point reduction |
scientific article; zbMATH DE number 6706618 |
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Solutions of Dirac equations on compact spin manifolds via saddle point reduction (English)
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20 April 2017
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This paper deals with the qualitative analysis of solutions for a class of Dirac-type equations with smooth potential on a compact spin manifold. The first main result is concerned with the existence of nontrivial solutions. Next, the authors establish sufficient conditions for the existence of at least three distinct solutions. The proofs combine energy estimates with the saddle point reduction theorem.
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Dirac equations
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compact spin manifolds
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saddle point reduction
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