Bifurcation and nodal solutions of mean curvature equation with indefinite weight in Minkowski space

We are concerned with the following mean curvature problem in Minkowski space {-div((del v)/(root 1-|del v|)2)=lambda m(|x|)f(v) in RN, v(|x|)-> 0 as |x|->+infinity, where N >= 3, lambda>0 is a parameter, m is an element of C-loc(alpha)(RN,R) for some alpha is an element of(0,1) is a weighted function and f is an element of C(R,R). Depending on the behavior of f near 0 and infinity, we investigate the existence and multiplicity of one-sign or sign-changing radial solutions to the problem. Moreover, we also obtain the rate of decay of solutions at infinity. The proof of the main results is based upon the bifurcation technique.