Nodal Solutions for Problems with Mean Curvature Operator in Minkowski Space with Nonlinearity Jumping Only at the Origin

In this paper, we establish a unilateral global bifurcation result for half-linear perturbation problems with mean curvature operator in Minkowski space. As applications of the abovementioned result, we shall prove the existence of nodal solutions for the following problem where λ？≠？0 is a parameter, R is a positive constant, and is the standard open ball in the Euclidean space which is centered at the origin and has radius R. a(|x|)？∈？C[0, R] is positive, ？=？max{ , 0}, ？=？？min{ , 0}, α(|x|), β(|x|)？∈？C[0, R]; , s？f？(s) >？0 for s？≠？0, and f0？∈？[0, ∞], where f0？=？lim|s|？0？f(s)/s. We use unilateral global bifurcation techniques and the approximation of connected components to prove our main results