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| On S-Shaped Bifurcation Curves for a Class of Perturbed Semilinear Equations |
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Citation： |
Benlong XU,Zhongliang WANG.On S-Shaped Bifurcation Curves for a Class of Perturbed Semilinear Equations[J].Chinese Annals of Mathematics B,2008,29(6):641~662 |
| Page view： 1108
Net amount： 922 |
Authors： |
Benlong XU; Zhongliang WANG |
Foundation： |
Project supported by the Foundation of Shanghai Municipal Education Commission (No. 06DZ004). |
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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. |
Keywords： |
Semilinear elliptic equations, Exact multiplicity of solutions,$S$-Shaped bifurcation curve |
Classification： |
35J65, 35J60, 35B32 |
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