Positive radial solutions for Dirichlet problems with mean curvature operators in Minkowski space

摘要

In this paper, by using Leray-Schauder degree arguments and critical point theory for convex, lower semicontinuous perturbations of C ~1-functionals, we obtain existence of classical positive radial solutions for Dirichlet problems of type Here, B(R)={x ∈ R ~N: |x| < R} and f:[0,R]×[0,α)→R is a continuous function, which is positive on (0, R]×(0, α).