In this chapter, we shall survey two further problems arising from the study of strongly indefinite structures. First we will focus on the role of geometric datum of a Riemannian manifold in Hamiltonian elliptic systems, see Sect. 8.1. Next, in Sect. 8.2, we will deal with some coupled-Dirac systems.

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Further Problems with Strongly Indefinite Structures

  • Yanheng Ding,
  • Tian Xu

摘要

In this chapter, we shall survey two further problems arising from the study of strongly indefinite structures. First we will focus on the role of geometric datum of a Riemannian manifold in Hamiltonian elliptic systems, see Sect. 8.1. Next, in Sect. 8.2, we will deal with some coupled-Dirac systems.