Existence of a positive solution for a class of non-local elliptic problem with critical growth in Rn.
dc.contributor.author | Leme, Leandro Correia Paes | |
dc.contributor.author | Rodrigues, Bruno Mendes | |
dc.date.accessioned | 2023-02-07T18:25:57Z | |
dc.date.available | 2023-02-07T18:25:57Z | |
dc.date.issued | 2022 | pt_BR |
dc.description.abstract | In this article, we consider the following non-local elliptic equation with critical growth ⎧⎪⎨⎪⎩− a + b RN |∇u| 2 dx p−1 2 Δu = λk(x)uq + u2∗−1, x ∈ RN , u ∈ D1,2(RN ), where N ≥ 3, λ > 0, 2∗:= 2N N−2 , 1 < p ≤ q < 2∗ − 1, a ≥ 0, b ≥ 0 and k(x) ∈ L 2∗ 2∗−q−1 (RN ) is a nonnegative function. Using variational methods and concentration-compactness principle, we obtain a positive solution. | pt_BR |
dc.identifier.citation | LEME, L. C. P.; RODRIGUES, B. M. Existence of a positive solution for a class of non-local elliptic problem with critical growth in Rn. Mediterranean Journal of Mathematics, v. 19, n. 67, 2022. Disponível em: <https://link.springer.com/article/10.1007/s00009-022-02012-7>. Acesso em: 06 jul. 2022. | pt_BR |
dc.identifier.doi | https://doi.org/10.1007/s00009-022-02012-7 | pt_BR |
dc.identifier.issn | 1660-5454 | |
dc.identifier.uri | http://www.repositorio.ufop.br/jspui/handle/123456789/16134 | |
dc.identifier.uri2 | https://link.springer.com/article/10.1007/s00009-022-02012-7 | pt_BR |
dc.language.iso | en_US | pt_BR |
dc.rights | restrito | pt_BR |
dc.subject | Non-local elliptic equation | pt_BR |
dc.subject | Critical exponent | pt_BR |
dc.subject | Variational method | pt_BR |
dc.title | Existence of a positive solution for a class of non-local elliptic problem with critical growth in Rn. | pt_BR |
dc.type | Artigo publicado em periodico | pt_BR |
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