We construct the bifurcation of interval of positive radial solutions from the trivial solution to the following Minkowski-curvature problems on unbounded domains del u -div = lambda f (x, u), x is an element of RN, 1 - |del u|2 u -> 0, as |x| -> +infinity, where f is not necessarily linearizable at zero. The proof of main results are based on the topological degree and global bifurcation techniques. (c) 2025 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.