Proceedings of the American Mathematical Society

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
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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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Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 35J25, 35B32, 35J60, 35P30

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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