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The Fucik spectrum and critical groups
Author(s):
Kanishka
Perera;
Martin
Schechter
Journal:
Proc. Amer. Math. Soc.
129
(2001),
2301-2308.
MSC (2000):
Primary 35J65, 58E05, 49B27
Posted:
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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Remarks on jumping nonlinearities.
In Topics in nonlinear analysis, pages 101-116. Birkhäuser, Basel, 1999. CMP 2000:05 - 3.
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to appear in NoDEA Nonlinear Differential Equations Appl. 7 (2000) no. 3. - 5.
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Type II regions between curves of the Fucík spectrum and critical groups.
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Type (II) regions between curves of the Fucík spectrum.
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Additional 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
DOI:
10.1090/S0002-9939-01-05968-8
PII:
S 0002-9939(01)05968-8
Received by editor(s):
November 26, 1999
Posted:
February 2, 2001
Communicated by:
David S. Tartakoff
Copyright of article:
Copyright
2001,
American Mathematical Society
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