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Title: | Existence of a positive solution for a class of non-local elliptic problem with critical growth in Rn. |
Authors: | Leme, Leandro Correia Paes Rodrigues, Bruno Mendes |
Keywords: | Non-local elliptic equation Critical exponent Variational method |
Issue Date: | 2022 |
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. |
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. |
URI: | http://www.repositorio.ufop.br/jspui/handle/123456789/16134 |
metadata.dc.identifier.uri2: | https://link.springer.com/article/10.1007/s00009-022-02012-7 |
metadata.dc.identifier.doi: | https://doi.org/10.1007/s00009-022-02012-7 |
ISSN: | 1660-5454 |
Appears in Collections: | DEMAT - Artigos publicados em periódicos |
Files in This Item:
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ARTIGO_ExistencePositiveSolution.pdf Restricted Access | 370,06 kB | Adobe PDF | View/Open |
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