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http://www.repositorio.ufop.br/jspui/handle/123456789/16131| Title: | Asymptotic behavior of ground states of generalized pseudo-relativistic Hartree equation. |
| Authors: | Belchior, Pedro Bueno, Hamilton Prado Miyagaki, Olimpio Hiroshi Pereira, Gilberto de Assis |
| Keywords: | Variational methods Exponential decay Fractional laplacian |
| Issue Date: | 2019 |
| Citation: | BELCHIOR, P. et al. Asymptotic behavior of ground states of generalized pseudo-relativistic Hartree equation. Asymptotic Analysis, v. 118, p. 269-295, 2020. Asymptotic Analysis, v. 118, p. 269-295, 2020. Disponível em: <https://content.iospress.com/articles/asymptotic-analysis/asy191561>. Acesso em: 06 jul. 2022. |
| Abstract: | Abstract. With appropriate hypotheses on the nonlinearity f , we prove the existence of a ground state solution u for the problem − + m2u + V u = W ∗ F (u) f (u) in RN, where V is a bounded potential, not necessarily continuous, and F the primitive of f . We also show that any of this problem is a classical solution. Furthermore, we prove that the ground state solution has exponential decay. |
| URI: | http://www.repositorio.ufop.br/jspui/handle/123456789/16131 |
| metadata.dc.identifier.uri2: | https://content.iospress.com/articles/asymptotic-analysis/asy191561 |
| metadata.dc.identifier.doi: | https://doi.org/10.3233/ASY-191561 |
| ISSN: | 1875-8576 |
| Appears in Collections: | DEMAT - Artigos publicados em periódicos |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| ARTIGO_AsymptoticBehaviorGround.pdf Restricted Access | 277,22 kB | Adobe PDF | View/Open |
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