BIBLIOS

Document type
Journal articles

Document subtype
Full paper

Title
Evolutionary quasi-variational and variational inequalities with constraints on the derivatives

Participants in the publication
Fernando Miranda (Author)
José Francisco Rodrigues (Author)
FACULDADE DE CIÊNCIAS DA UNIVERSIDADE DE LISBOA
CMAFcIO
Lisa Santos (Author)

Summary
Abstract\\\\nThis 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.


Institution
FACULDADE DE CIÊNCIAS DA UNIVERSIDADE DE LISBOA

Where published
Advances in Nonlinear Analysis

Publication Identifiers
ISSN - 2191-950X

Publisher
Walter de Gruyter GmbH



Document Identifiers
DOI - https://doi.org/10.1515/anona-2018-0113
URL - http://dx.doi.org/10.1515/anona-2018-0113

Rankings
SCIMAGO Q1 (2020) - 2.92 - Analysis

Keywords
Evolutionary quasi-variational inequalities; gradient constraints; constraints on the derivatives

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