An optimal pointwise Morrey-Sobolev inequality.
dc.contributor.author | Ercole, Grey | |
dc.contributor.author | Pereira, Gilberto de Assis | |
dc.date.accessioned | 2023-02-03T21:27:38Z | |
dc.date.available | 2023-02-03T21:27:38Z | |
dc.date.issued | 2020 | pt_BR |
dc.description.abstract | Let Ω be a bounded, smooth domain of RN , N ≥ 1. For each p > N we study the optimal function s = sp in the pointwise inequality |v(x)| ≤ s(x) ∇vLp(Ω) , ∀ (x, v) ∈ Ω × W1,p 0 (Ω). We show that sp ∈ C0,1−(N/p) 0 (Ω) and that sp converges pointwise to the distance function to the boundary, as p → ∞. Moreover, we prove that if Ω is convex, then sp is concave and has a unique maximum point. | pt_BR |
dc.identifier.citation | ERCOLE, G.; PEREIRA, G. de A. An optimal pointwise Morrey-Sobolev inequality. Journal of Mathematical Analysis and Applications, v. 489, n. 1, artigo 124143, 2020. Disponível em: <https://www.sciencedirect.com/science/article/pii/S0022247X2030305X>. Acesso em: 06 jul. 2022. | pt_BR |
dc.identifier.doi | https://doi.org/10.1016/j.jmaa.2020.124143 | pt_BR |
dc.identifier.issn | 0022-247X | |
dc.identifier.uri | http://www.repositorio.ufop.br/jspui/handle/123456789/16111 | |
dc.identifier.uri2 | https://www.sciencedirect.com/science/article/pii/S0022247X2030305X | pt_BR |
dc.language.iso | en_US | pt_BR |
dc.rights | restrito | pt_BR |
dc.subject | Dirac delta distribution | pt_BR |
dc.subject | Infinity Laplacian | pt_BR |
dc.title | An optimal pointwise Morrey-Sobolev inequality. | pt_BR |
dc.type | Artigo publicado em periodico | pt_BR |
Arquivos
Pacote Original
1 - 1 de 1
Nenhuma Miniatura disponível
- Nome:
- ARTIGO_OptimalPointwiseMorrey.pdf
- Tamanho:
- 345.52 KB
- Formato:
- Adobe Portable Document Format
- Descrição:
Licença do Pacote
1 - 1 de 1
Nenhuma Miniatura disponível
- Nome:
- license.txt
- Tamanho:
- 1.71 KB
- Formato:
- Item-specific license agreed upon to submission
- Descrição: