Morse indices and exact multiplicity of solutions to semilinear elliptic problems

Shi, Junping; Wang, Junping

doi:10.1090/S0002-9939-99-05542-2

Morse indices and exact multiplicity of solutions to semilinear elliptic problems
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by Junping Shi and Junping Wang

Proc. Amer. Math. Soc. 127 (1999), 3685-3695

DOI: https://doi.org/10.1090/S0002-9939-99-05542-2

Published electronically: 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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