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Morse indices and exact multiplicity of solutions to semilinear elliptic problems
Author(s):
Junping
Shi;
Junping
Wang
Journal:
Proc. Amer. Math. Soc.
127
(1999),
3685-3695.
MSC (1991):
Primary 35J25, 35B32;
Secondary 35J60, 35P30
Posted:
August 5, 1999
MathSciNet review:
1694880
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Abstract:
We obtain precise global bifurcation diagrams for both one-sign and sign-changing solutions of a semilinear elliptic equation, for the nonlinearity being asymptotically linear. Our method combines the bifurcation approach and spectral analysis.
References:
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 on the compact manifolds. Trans. Amer. Math. Soc. 331 (1992), no. 2, 503-527. MR 92h:35012 - [R1]
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- [R2]
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Additional Information:
Junping
Shi
Affiliation:
Department of Mathematics, Tulane University, New Orleans, Louisiana 70118
Email:
shij@math.tulane.edu
Junping
Wang
Affiliation:
Department of Mathematics, Brigham Young University, Provo, Utah 84602-6539
Email:
junw@math.byu.edu
DOI:
10.1090/S0002-9939-99-05542-2
PII:
S 0002-9939(99)05542-2
Keywords:
Exact multiplicity,
bifurcation,
eigenvalue comparison
Received by editor(s):
February 28, 1998
Posted:
August 5, 1999
Communicated by:
David S. Tartakoff
Copyright of article:
Copyright
1999,
American Mathematical Society
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