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Resonant noncooperative elliptic systems via relative morse indices and linking method

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Autor(es):
Ishiwata, Michinori ; Li, Haoyu
Número total de Autores: 2
Tipo de documento: Artigo Científico
Fonte: Journal of Fixed Point Theory and Applications; v. 26, n. 4, p. 26-pg., 2024-12-01.
Resumo

We consider an asymptotically linear noncooperative elliptic system with possibly more than one resonant level. For this purpose, the relative Morse index in Abbondandolo (Morse theory for Hamiltonian systems, 2001), and a Morse theory developed in Hirano et al. (Calc Var Partial Differ Equ 10:223-247, 2000) are combined. As a complement, we also provide a result based on the linking method. Due to the abstract nature of the framework, some examples are also given. (AU)

Processo FAPESP: 22/15812-0 - Uma proposta sobre o metodo variacional para um sistema eliptico.
Beneficiário:Haoyu Li
Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado