Quick Search:

uzh logo
Browse by:
bullet
bullet
bullet
bullet

Zurich Open Repository and Archive 

Chipot, M; Rodrigues, J (1992). On a class of nonlocal nonlinear elliptic problems. RAIRO Modelisation Mathematique et Analyse Numerique, 26(3):447-467.

Full text not available from this repository.

Abstract

We give a direct approach to the solvability of a class of nonlocal problems which admit a formulation in terms of quasi- variational inequalities. We are motivated by nonlinear elliptic boundary value problems in which certain coefficients depend, in a rather general way, on the solution itself through global quantities like the total mass, the total flux or the total energy. We illustrate the existence results with several applications, including an implicit Signorini problem for steady diffusion of biological populations and a class of operator equations in nonlinear mechanics. We also discuss the non- uniqueness of the solutions.

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
DDC:510 Mathematics
Uncontrolled Keywords:nonlocal problems; quasi-variational inequalities; nonlinear elliptic boundary value problems; existence; Signorini problem; steady diffusion of biological popoluations; nonlinear mechanics; non-uniqueness
Language:English
Date:1992
Deposited On:31 Aug 2010 08:45
Last Modified:28 Nov 2013 00:30
Publisher:Elsevier
ISSN:0764-583X
Free access at:Related URL. An embargo period may apply.
Related URLs:http://www.ams.org/mathscinet-getitem?mr=1160135
http://www.zentralblatt-math.org/zbmath/search/?q=an%3A0765.35021
http://www.numdam.org/item?id=M2AN_1992__26_3_447_0
Citations:Web of Science®. Times Cited: 29
Google Scholar™

Users (please log in): suggest update or correction for this item

Repository Staff Only: item control page