Existence Results for Solutions to Nonlinear Dirac Systems on Compact Spin Manifolds

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Existence Results for Solutions to Nonlinear Dirac Systems on Compact Spin Manifolds

Yang, Xu

Advanced nonlinear studies, 02/2018, Volume: 18, Issue: 1

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In this article, we study the existence of solutions for the Dirac system where is an -dimensional compact Riemannian spin manifold, are spinors, is the Dirac operator on , and the fiber preserving map is a real-valued superquadratic function of class with subcritical growth rates. Two existence results of nontrivial solutions are obtained via Galerkin-type approximations and linking arguments.

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Yang, Xu

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