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Linking in Hilbert space
Author(s):
Martin
Schechter;
Kyril
Tintarev
Journal:
Proc. Amer. Math. Soc.
134
(2006),
403-410.
MSC (2000):
Primary 35J65, 58E05, 49J27
Posted:
August 25, 2005
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Additional information
Abstract:
We present the most general definition of the linking of sets in a Hilbert space and, drawing on the theory given in earlier papers by Schechter and Tintarev, give a necessary and sufficient geometric condition for linking when one set is compact.
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Additional Information:
Martin
Schechter
Affiliation:
Department of Mathematics, University of California, Irvine, California 92697-3875
Email:
mschecht@math.uci.edu
Kyril
Tintarev
Affiliation:
Department of Mathematics, Uppsala University, P.O. Box 480, 751 06 Uppsala, Sweden
Email:
kyril.tintarev@math.uu.se
DOI:
10.1090/S0002-9939-05-08217-1
PII:
S 0002-9939(05)08217-1
Keywords:
Critical point theory,
variational methods,
saddle point theory
Received by editor(s):
August 7, 2004
Posted:
August 25, 2005
Additional Notes:
The first author was supported in part by an NSF grant
The research was done while the second author was visiting UC Irvine; supported in part by a grant from the Swedish Research Council.
Communicated by:
Jonathan M. Borwein
Copyright of article:
Copyright
2005,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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