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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Linking in Hilbert space


Authors: Martin Schechter and Kyril Tintarev
Journal: Proc. Amer. Math. Soc. 134 (2006), 403-410
MSC (2000): Primary 35J65, 58E05, 49J27
Published electronically: August 25, 2005
MathSciNet review: 2176008
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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: http://dx.doi.org/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
Published electronically: 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
Article copyright: © Copyright 2005 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.