Campo DC | Valor | Idioma |
dc.contributor.author | Costa, Gustavo Silvestre do Amaral | - |
dc.contributor.author | Figueiredo, Giovany de Jesus Malcher | - |
dc.date.accessioned | 2024-07-08T17:00:23Z | - |
dc.date.available | 2024-07-08T17:00:23Z | - |
dc.date.issued | 2021-07-17 | - |
dc.identifier.citation | COSTA, Gustavo S.; FIGUEIREDO, Giovany M. Existence and concentration of positive solutions for a critical p&q equation. Advances in Nonlinear Analysis, [S. l.], v. 11, n.1, 2, p. 243-267, 2022. DOI: https://doi.org/10.1515/anona-2020-0190. Disponível em:https://www.degruyter.com/document/doi/10.1515/anona-2020-0190/html. Acesso em: 08 jul. 2024. | pt_BR |
dc.identifier.uri | http://repositorio2.unb.br/jspui/handle/10482/48604 | - |
dc.language.iso | eng | pt_BR |
dc.publisher | De Gruyter | pt_BR |
dc.rights | Acesso Aberto | pt_BR |
dc.title | Existence and concentration of positive solutions for a critical p&q equation | pt_BR |
dc.type | Artigo | pt_BR |
dc.subject.keyword | Expoente crítico | pt_BR |
dc.subject.keyword | Equação p&q | pt_BR |
dc.subject.keyword | Métodos variacionais | pt_BR |
dc.rights.license | Open Access. © 2021 Gustavo S. Costa and Giovany M. Figueiredo, published by De Gruyter. (CC BY) This work is licensed under the Creative Commons Attribution alone 4.0 License. | pt_BR |
dc.identifier.doi | https://doi.org/10.1515/anona-2020-0190 | pt_BR |
dc.description.abstract1 | We show existence and concentration results for a class of p&q critical problems given by
−div
a
ϵp|∇u|
p
ϵp|∇u|
p−2∇u
+ V(z)b
|u|
p
|u|
p−2u = f(u) + |u|
q*−2u in RN ,
where u ∈ W1,p(RN) ∩ W1,q(RN), ϵ > 0 is a small parameter, 1 < p ≤ q < N, N ≥ 2 and q* = Nq/(N −
q). The potential V is positive and f is a superlinear function of C1 class. We use Mountain Pass Theorem
and the penalization arguments introduced by Del Pino & Felmer’s associated to Lions’ Concentration and
Compactness Principle in order to overcome the lack of compactness. | pt_BR |
dc.description.unidade | Instituto de Ciências Exatas (IE) | pt_BR |
dc.description.unidade | Departamento de Matemática (IE MAT) | pt_BR |
Aparece nas coleções: | Artigos publicados em periódicos e afins
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