Existence And Estimates Of Entire Radial Solutions For Two Classes Of Nonlinear Elliptic Equations And Systems

By a monotone iterative method and Arzela-Ascoli theorem, the theorem of the inverse function, we first obtain the existence and estimates of entire positive k-convex radial solutions to nonlinear Hessian equation and systems under simple conditions on f, g and p, q. Then, using the similar method as mentioned above, we study the existence and esti-mates of entire radial solutions to a class of quasilinear elliptic equation and systems under simple conditions on f, fi, ai, bi, φ(i=1,2)...