Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/20392
Título: | Variational and quasivariational inequalities with first order constraints |
Autor(es): | Azevedo, Assis Miranda, Fernando Santos, Lisa |
Palavras-chave: | Variational inequality Quasivariational inequality Lagrange multiplier |
Data: | 2013 |
Editora: | Elsevier 1 |
Revista: | Journal of Mathematical Analysis and Applications |
Resumo(s): | We study the existence of solutions of stationary variational and quasivariational inequalities with curl constraint, Neumann type boundary condition and a p-curl type operator. These problems are studied in bounded, not necessarily simply connected domains, with a special geometry, and the functional framework is the space of divergence-free functions with curl in $\boldsymbol L^p$ and null tangential or normal traces. The analogous variational or quasivariational inequalities with a gradient constraint are also studied, considering Neumann or Dirichlet non-homogeneous boundary conditions. The existence of a generalized solution for a Lagrange multiplier problem with homogeneous Dirichlet boundary condition and the equivalence with the variational inequality is proved in the linear case, for an arbitrary gradient constraint. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/20392 |
DOI: | 10.1016/j.jmaa.2012.07.033 |
ISSN: | 0022-247X |
Versão da editora: | http://dx.doi.org/10.1016/j.jmaa.2012.07.033 |
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 | |
---|---|---|---|---|
AzevedoMirandaSantos2013.pdf | 333,01 kB | Adobe PDF | Ver/Abrir |