Abstract
In this paper, we show that the radially symmetric k-admissible solutions set of a k-Hessian equation Dirichlet problem with homogeneous boundary condition contains a reversed S-shaped connected component. By determining the shape of unbounded continua of the solutions, we obtain the existence and multiplicity of radially symmetric k-admissible solutions with respect to the bifurcation parameter λ. The proof is based on the bifurcation technique.
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