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

作者：Xu Benlong^*; Wang Zhongliang

来源：Chinese Annals of Mathematics Series B, 2008, 29(6): 641-662.

DOI：10.1007/s11401-007-0379-5

• Semilinear elliptic equations
• Exact multiplicity of solutions
• S-Shaped bifurcation curve

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.

• 出版日期2008-11
• 单位上海师范大学