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

 

Morse indices and exact multiplicity of solutions to semilinear elliptic problems


Authors: Junping Shi and Junping Wang
Journal: Proc. Amer. Math. Soc. 127 (1999), 3685-3695
MSC (1991): Primary 35J25, 35B32; Secondary 35J60, 35P30
Published electronically: 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.


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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: http://dx.doi.org/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
Published electronically: August 5, 1999
Communicated by: David S. Tartakoff
Article copyright: © Copyright 1999 American Mathematical Society