Exact multiplicity and global structure of solutions for a class of semilinear elliptic equations |
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Authors: | Benlong Xu |
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Institution: | Department of Mathematics, Shanghai Normal University, Shanghai 200234, PR China |
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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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Keywords: | Semilinear elliptic equations Exact multiplicity of solutions Bifurcation diagram |
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