Results on a strongly coupled, asymptotically linear pseudo-relativistic Schrödinger system : ground state, radial symmetry and Hölder regularity.
| dc.contributor.author | Bueno, Hamilton Prado | |
| dc.contributor.author | Mamani, Guido Gutierrez | |
| dc.contributor.author | Medeiros, Aldo Henrique de Souza | |
| dc.contributor.author | Pereira, Gilberto de Assis | |
| dc.date.accessioned | 2023-08-18T19:42:02Z | |
| dc.date.available | 2023-08-18T19:42:02Z | |
| dc.date.issued | 2022 | pt_BR |
| dc.description.abstract | In this paper we consider the asymptotically linear, strongly coupled nonlinear system ⎧ ⎪⎨ ⎪⎩ √ −∆ + m2 u = u 2 + v 2 1 + s(u2 + v 2) u + λv, √ −∆ + m2 v = u 2 + v 2 1 + s(u2 + v 2) v + λu, where m > 0, 0 < λ < m and 0 < s < 1/(λ + m) are constants. By applying the Nehari–Pohozaev manifold, we prove that our system has a ground state solution. We also prove that solutions of this system are radially symmetric and belong to C0,μ(RN ) for some 0 < μ < 1 and each N > 1. | pt_BR |
| dc.identifier.citation | BUENO, H. P. et al. Results on a strongly coupled, asymptotically linear pseudo-relativistic Schrödinger system: ground state, radial symmetry and Hölder regularity. Nonlinear Analysis, v. 221, artigo 112916, abr. 2022. Disponível em: <https://www.sciencedirect.com/science/article/pii/S0362546X22000839>. Acesso em: 06 jul. 2023. | pt_BR |
| dc.identifier.doi | https://doi.org/10.1016/j.na.2022.112916 | pt_BR |
| dc.identifier.issn | 0362-546X | |
| dc.identifier.uri | http://www.repositorio.ufop.br/jspui/handle/123456789/17267 | |
| dc.identifier.uri2 | https://www.sciencedirect.com/science/article/pii/S0362546X22000839 | pt_BR |
| dc.language.iso | en_US | pt_BR |
| dc.rights | restrito | pt_BR |
| dc.subject | Pseudo-relativistic Schrödinger operator | pt_BR |
| dc.subject | Asymptotic linear system | pt_BR |
| dc.subject | Nehari–Pohozaev manifold | pt_BR |
| dc.title | Results on a strongly coupled, asymptotically linear pseudo-relativistic Schrödinger system : ground state, radial symmetry and Hölder regularity. | pt_BR |
| dc.type | Artigo publicado em periodico | pt_BR |
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