Elliptic Quasi-variational inequalities and applications

Yusuke Murase; Risei Kano; Nobuyuki Kenmochi

doi:10.3934/proc.2009.2009.583

Article Contents

2009, Volume 2009: 583-591. Doi: 10.3934/proc.2009.2009.583 open access

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Elliptic Quasi-variational inequalities and applications

1.
Faculty of Economic Sciences, Hiroshima Shudo Univesity, 1-1-1 Ozukahigashi, Asaminami-ku, Hiroshima, 731-3195
2.
School of engineering, Kinki University, 1 Takaya Umenobe, Higashi-Hiroshima City, Hiroshima, 739-2116
3.
Department of Mathematics, Faculty of Education, Chiba University, 1-33 Yayoi-chō, Inage-ku, Chiba, 263–8522

Received: July 31, 2008

Revised: March 31, 2009

Published: August 2009

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Abstract

It is the main objective of this paper to discuss applications of the abstract results recently evolved in [16,17] to the solvability of variational inequalities with constraints depending on the unknown functions, which are called quasi-variational inequalities.

Keywords:

Elliptic quasi-variational inequality,
semi-monotone.

Mathematics Subject Classification: Primary: 35K45, Secondary:35K50.

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