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On S-shaped bifurcation curves for a class of perturbed semilinear equations

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Abstract

By making use of bifurcation analysis and continuation method, the authors discuss the exact number of positive solutions for a class of perturbed equations. The nonlinearities concerned are the so-called convex-concave functions and their behaviors may be asymptotic sublinear or asymptotic linear. Moreover, precise global bifurcation diagrams are obtained.

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Authors and Affiliations

  1. Department of Mathematics, Shanghai Normal University, Shanghai, 200234, China

    Benlong Xu & Zhongliang Wang

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  1. Benlong Xu
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  2. Zhongliang Wang
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Correspondence to Benlong Xu.

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Project supported by the Foundation of Shanghai Municipal Education Commission (No. 06DZ004).

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Xu, B., Wang, Z. On S-shaped bifurcation curves for a class of perturbed semilinear equations. Chin. Ann. Math. Ser. B 29, 641–662 (2008). https://doi.org/10.1007/s11401-007-0379-5

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  • DOI: https://doi.org/10.1007/s11401-007-0379-5

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