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Nordic Conference on Topology and its Applications (NORDTOP2001)
August 7-9, 2001
Sophus Lie Conference Centre
Nordfjordeid, Norway

Organizers
Peter Collins, Bjoern Jahren, Dusan Repovs, Stephen Watson

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A new approach to critical point theory using continuous selections of multivalued mappings
by
Youssef Jabri
Faculty of Sciences, Oujda, Morocco

We answer some open question posed in an earlier paper:

Jabri, Y.; Moussaoui, M. A critical point theorem without compactness and applications. Nonlinear Anal. 32 (1998), no. 3, 363-380.

and extends and unify the three abstract critical point theorems that appear in that paper. These were applied to treat some nonlinear PDE problems. We show thay are all corollaries of a new more abstract resultwhich uses continuous selections of multivalued mappings. This topological intrusion is at the best of our knowledge new!

support (both travel and accomodation)

Date received: June 21, 2001

Copyright © 2001 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cagf-14.