Abstract quasi-variational inequalities of elliptic type and applications

• Autorzy: Yusuke Murase
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 35K45: Initial value problems for second-order parabolic systems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2009
• Tom: 86
• Numer: 1
• Strony: 235-246

Daty

wydano

2009

Twórcy

autor

Yusuke Murase

• Faculty of Economic Sciences, Hiroshima Shudo University, 1-1-1 Ozuka-higashi, Asaminami-Ku, Hiroshima, 731-3195, Japan

Identyfikatory

DOI

10.4064/bc86-0-15