Existence, Multiplicity And Asymptotic Behavior Of Solutions For Three Quasilinear Elliptic Equations (groups)

In this paper, we investigate the existence, multiplicity and the asymptotic behav-ior of positive solutions for some quasilinear elliptic problems.In chapter 1, using Krasnoselskii fixed point theorem, we study the existence and the asymptotic behavior of positive radial solutions for a class of quasilinear elliptic problem 0 is a real parameter, h is a radial nonnegative nonlinearity and is locally superlinear at +?.In chapter 2, we investigate the existence and multiplicity of positive radial solu-tions to the following quasilinear elliptic boundary value problem is continuous andIn chapter 3, using the method of sup-sub solutions, we investigate the existence of positive solutions for a class of quasilinear elliptic systems where ? (?)RN is a bounded smooth domain parameters. The functions Mi ire continuous and increasing, f(s,t),g(s,t)ire monotone functions such that the partial derivative fs(s, t), ft(s, t), gs(s,t), gt(s,t)> 0,and f(0,0)<0, g(0,0)<0.