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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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The Fucik spectrum and critical groups
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by Kanishka Perera and Martin Schechter
Proc. Amer. Math. Soc. 129 (2001), 2301-2308
DOI: https://doi.org/10.1090/S0002-9939-01-05968-8
Published electronically: February 2, 2001
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Abstract:

We compute critical groups of zero for variational functionals arising from semilinear elliptic boundary value problems with jumping nonlinearities when the asymptotic limits of the nonlinearity fall in certain parts of Type (II) regions between curves of the Fucik spectrum.
References
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Bibliographic Information
  • Kanishka Perera
  • Affiliation: Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, Florida 32901-6975
  • Email: kperera@winnie.fit.edu
  • Martin Schechter
  • Affiliation: Department of Mathematics, University of California–Irvine, Irvine, California 92697-3875
  • Email: mschecht@math.uci.edu
  • Received by editor(s): November 26, 1999
  • Published electronically: February 2, 2001
  • Communicated by: David S. Tartakoff
  • © Copyright 2001 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 129 (2001), 2301-2308
  • MSC (2000): Primary 35J65, 58E05, 49B27
  • DOI: https://doi.org/10.1090/S0002-9939-01-05968-8
  • MathSciNet review: 1823913