Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/65606
Título: | Evolutionary quasi-variational and variational inequalities with constraints on the derivatives |
Autor(es): | Miranda, Fernando Rodrigues, Jose Francisco Santos, Lisa |
Palavras-chave: | constraints on the derivatives Evolutionary quasi-variational inequalities gradient constraints |
Data: | 2020 |
Editora: | De Gruyter |
Revista: | Advances in Nonlinear Analysis |
Resumo(s): | This paper considers a general framework for the study of the existence of quasi-variational and variational solutions to a class of nonlinear evolution systems in convex sets of Banach spaces describing constraints on a linear combination of partial derivatives of the solutions. The quasi-linear operators are of monotone type, but are not required to be coercive for the existence of weak solutions, which is obtained by a double penalization/regularization for the approximation of the solutions. In the case of time-dependent convex sets that are independent of the solution, we show also the uniqueness and the continuous dependence of the strong solutions of the variational inequalities, extending previous results to a more general framework. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/65606 |
DOI: | 10.1515/anona-2018-0113 |
ISSN: | 2191-9496 |
Versão da editora: | https://www.degruyter.com/view/journals/anona/9/1/article-p250.xml |
Arbitragem científica: | yes |
Acesso: | Acesso aberto |
Aparece nas coleções: | CMAT - Artigos em revistas com arbitragem / Papers in peer review journals |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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MirandaRodriguesSantos2020-RepositoriUM.pdf | 480,45 kB | Adobe PDF | Ver/Abrir |