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Nontrivial Solutions of Dirac-Laplace Equation on Compact Spin Manifolds

Published 23 Jan 2022 in math.AP | (2201.09311v2)

Abstract: We apply the Fountain theorem to a class of nonlinear Dirac-Laplace equation on compact spin manifold. We show the standard Ambrosetti-Rabinowitz condition can be replaced by a more natural super-quadratic condition that is enough to obtain the Cerami condition under certain conditions. Multiple solutions of nonlinear Dirac-Laplace equation are obtained in this note.

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Authors (2)

  1. Xu Yang 
  2. Lei Xian 

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