Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4621394 | Journal of Mathematical Analysis and Applications | 2008 | 8 Pages |
Abstract
In this paper, we establish an exact multiplicity result of solutions for a class of semilinear elliptic equation. We also obtain a precise global bifurcation diagram of the solution set. As a result, an open problem presented by C.-H. Hsu and Y.-W. Shih [C.-H. Hsu, Y.-W. Shih, Solutions of semilinear elliptic equations with asymptotic linear nonlinearity, Nonlinear Anal. 50 (2002) 275–283] is completely solved. Our argument is mainly based on bifurcation theory and continuation method.
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