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

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

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