摘要：In this paper, we establish a unilateral global bifurcation result from the interval for the k -Hessian equations with nondifferentiable nonlinearity. By applying the above result, we shall prove the existence of the principal half-eigenvalues for the half quasilinear problems. Furthermore, we shall determine the interval of γ , in which there exist one-sign solutions for the following k -Hessian equations: S k D 2 u = α x − u + k + β x − u − k + γ a x f u , in B , u x = 0 , on ∂ B .
