Computing the best constant in the Sobolev inequality for a ball.

Ercole, Grey; Espírito Santo, Júlio César do; Martins, Eder Marinho

Use este identificador para citar ou linkar para este item: http://www.repositorio.ufop.br/jspui/handle/123456789/10560

Registro completo de metadados

Campo Dublin Core	Valor	Idioma
dc.contributor.author	Ercole, Grey	-
dc.contributor.author	Espírito Santo, Júlio César do	-
dc.contributor.author	Martins, Eder Marinho	-
dc.date.accessioned	2018-11-22T13:27:47Z	-
dc.date.available	2018-11-22T13:27:47Z	-
dc.date.issued	2017	-
dc.identifier.citation	ENCOLE, G.; ESPÍRITO SANTO, J. C do.; MARTINS, E. M. Computing the best constant in the Sobolev inequality for a ball. Applicable Analysis, v. 1, p. 1-17, 2018. Disponível em: <https://www.tandfonline.com/doi/full/10.1080/00036811.2017.1422723>. Acesso em: 16 jun. 2018.	pt_BR
dc.identifier.issn	1563504X	-
dc.identifier.uri	http://www.repositorio.ufop.br/handle/123456789/10560	-
dc.description.abstract	Let B1 be the unit ball of R N , N ≥ 2, and let p ? = N p/(N − p) if 1 < p < N and p ? = ∞ if p ≥ N. For each q ∈ [1, p? ) let wq ∈ W1,p 0 (B1) be the positive function such that kwqkLq(B1) = 1 and λq(B1) := min ( k∇uk p Lp(B1) kuk p Lq(B1) : 0 6≡ u ∈ W1,p 0 (B1) ) = k∇wqk p Lp(B1) . In this paper we develop an iterative method for obtaining the pair (λq(B1), wq), starting from w1. Since w1 is explicitly known, the method is computationally practical, as our numerical tests show. 2010 Mathematics Subject Classification. 34L16; 35J25; 65N25 Keywords: Best Sobolev constant; extremal functions; inverse iteration method; p-Laplacian.	pt_BR
dc.language.iso	en_US	pt_BR
dc.rights	restrito	pt_BR
dc.title	Computing the best constant in the Sobolev inequality for a ball.	pt_BR
dc.type	Artigo publicado em periodico	pt_BR
dc.identifier.uri2	https://www.tandfonline.com/doi/full/10.1080/00036811.2017.1422723	pt_BR
Aparece nas coleções:	DEMAT - Artigos publicados em periódicos

Arquivos associados a este item:

Arquivo	Descrição	Tamanho	Formato
ARTIGO_ComputingBestConstant.pdf Restricted Access		817,67 kB	Adobe PDF	Visualizar/Abrir

Mostrar registro simples do item Visualizar estatísticas