Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/62816
Título: | On nonlocal variational and quasi-variational inequalities with fractional gradient |
Autor(es): | Rodrigues, José Francisco Santos, Lisa |
Palavras-chave: | Fractional gradient Variational inequalities Nonlocal quasi-variational inequalities Gradient constraint Lagrange multiplier |
Data: | Dez-2019 |
Editora: | Springer |
Revista: | Applied Mathematics and Optimization |
Resumo(s): | We extend classical results on variational inequalities with convex sets with gradient constraint to a newclass of fractional partial differential equations in a bounded domain with constraint on the distributional Riesz fractional gradient, the σ-gradient (0 < σ < 1).We establish continuous dependence results with respect to the data, including the threshold of the fractional σ-gradient.Using these propertieswe give newresults on the existence to a class of quasi-variational variational inequalitieswith fractional gradient constraint via compactness and via contraction arguments. Using the approximation of the solutions with a family of quasilinear penalisation problems we show the existence of generalised Lagrange multipliers for the gradient constrained problem, extending previous results for the classical gradient case, i.e., with σ = 1. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/62816 |
DOI: | 10.1007/s00245-019-09610-0 |
ISSN: | 0095-4616 |
e-ISSN: | 1432-0606 |
Versão da editora: | https://link.springer.com/article/10.1007/s00245-019-09610-0 |
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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RS_2019SigmaGradientConstraint_Repositorium.pdf | 424,61 kB | Adobe PDF | Ver/Abrir |