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In this article, we consider the global behavior of components of positive nonconstant radial solutions for the Neumann problem with indefinite weightwhereis a parameter,is the unit open ball,andsatisfyingis the sign-changing function. We determine the intervals of  λ  in which the above problem has one, two or three positive nonconstant radial solutions by using the directions of a bifurcation.

Three positive nonconstant radial solutions of nonlinear Neumann problems with indefinite weight