%0 Journal Article
%T Nodal Solutions for Problems with Mean Curvature Operator in Minkowski Space with Nonlinearity Jumping Only at the Origin
%A Shen
%A Wenguo
%J -
%D 2020
%R https://doi.org/10.1155/2020/9801931
%X 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 ¦Ë£¿¡Ù£¿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|)£¿¡Ê£¿C[0, R] is positive, £¿=£¿max{ , 0}, £¿=£¿£¿min{ , 0}, ¦Á(|x|), ¦Â(|x|)£¿¡Ê£¿C[0, R]; , s£¿f£¿(s) >£¿0 for s£¿¡Ù£¿0, and f0£¿¡Ê£¿[0, ¡Þ], 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
%U https://www.hindawi.com/journals/jfs/2020/9801931/