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 Nodal solutions for an elliptic equation in an annulus without the signum condition Bull. Korean Math. Soc.Published online August 20, 2019 Tianlan Chen, Yanqiong Lu, and Ruyun Ma Department of Mathematics, Northwest Normal University Abstract : This paper is concerned with the global behavior of components of radial nodal solutions of semilinear elliptic problems $$-\Delta v=\lambda h(x, v)\ \ \text{in}\ \Omega,\ \ \ v=0\ \ \text{on}\ \partial\Omega,$$ where $\Omega=\{x\in \mathbb{R}^N: r_1<|x|0$ for $s\in\mathbb{R}\setminus\{0, s_1(x), s_2(x)\}$. Moreover, we give the intervals for the parameter $\lambda$ which ensure the existence and multiplicity of radial nodal solutions for the above problem. For this, we use global bifurcation techniques to prove our main results. Keywords : Nodal solutions; Elliptic equation; Bifurcation MSC numbers : 34B15; 35J25 Full-Text :