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arXiv · 1802.03492

An index theory with applications to homoclinic Orbits of Hamiltonian systems and Dirac equations

Qi Wang·Chungen Liu
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Abstract

In this paper, we will define the index pair $(i_A(B),\nu_A(B))$ by the dual variational method, and show the relationship between the indices defined by different methods. As applications, we apply the index $(i_A(B),\nu_A(B))$ to study the existence and multiplicity of homoclinic orbits of nonlinear Hamiltonian systems and solutions of nonlinear Dirac equations

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BibTeXRIS

Qi Wang, Chungen Liu. 2018-02-10. An index theory with applications to homoclinic Orbits of Hamiltonian systems and Dirac equations. https://arxiv.org/abs/1802.03492

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