Abstract quasi-variational inequalities of elliptic type and applications

Yusuke Murase. "Abstract quasi-variational inequalities of elliptic type and applications." Banach Center Publications 86.1 (2009): 235-246. <http://eudml.org/doc/281613>.

@article{YusukeMurase2009,
abstract = {A class of quasi-variational inequalities (QVI) of elliptic type is studied in reflexive Banach spaces. The concept of QVI was earlier introduced by A. Bensoussan and J.-L. Lions [2] and its general theory has been developed by many mathematicians, for instance, see [6, 7, 9, 13] and a monograph [1]. In this paper we give a generalization of the existence theorem established in [14]. In our treatment we employ the compactness method along with a concept of convergence of nonlinear multivalued operators of monotone type (cf. [11]). We shall prove an abstract existence result for our class of QVI's, and moreover, give some applications to QVI's for elliptic partial differential operators.},
author = {Yusuke Murase},
journal = {Banach Center Publications},
keywords = {elliptic quasivariational inequality; semi-monotone; elasto-plastic torsion problem},
language = {eng},
number = {1},
pages = {235-246},
title = {Abstract quasi-variational inequalities of elliptic type and applications},
url = {http://eudml.org/doc/281613},
volume = {86},
year = {2009},
}

TY - JOUR
AU - Yusuke Murase
TI - Abstract quasi-variational inequalities of elliptic type and applications
JO - Banach Center Publications
PY - 2009
VL - 86
IS - 1
SP - 235
EP - 246
AB - A class of quasi-variational inequalities (QVI) of elliptic type is studied in reflexive Banach spaces. The concept of QVI was earlier introduced by A. Bensoussan and J.-L. Lions [2] and its general theory has been developed by many mathematicians, for instance, see [6, 7, 9, 13] and a monograph [1]. In this paper we give a generalization of the existence theorem established in [14]. In our treatment we employ the compactness method along with a concept of convergence of nonlinear multivalued operators of monotone type (cf. [11]). We shall prove an abstract existence result for our class of QVI's, and moreover, give some applications to QVI's for elliptic partial differential operators.
LA - eng
KW - elliptic quasivariational inequality; semi-monotone; elasto-plastic torsion problem
UR - http://eudml.org/doc/281613
ER -