Rui Yang, Yong-Hoon Lee. Source: Advances in Differential Equations, Volume 25, Number 3/4, 161--190.Abstract:
In this paper, we study the existence of positive radial solutions for a prescribed mean curvature problem on an exterior domain. Based on $C^1$-regularity of solutions, which is closely related to the property of nonlinearity $f$ near $0,$ and by using the global bifurcation theory, we establish some existence results when $f$ is sublinear at $\infty$.