The Existence Of Solutions Of Quasilinear Elliptic Equations (groups) And The Estimation Of Solutions

In this paper,we investigate the existence and estimated of solutions for some quasilinear elliptic problems.In chapter 1, using variational methods and the critical points theorem of B.Ricceri, we establish the existence and the estimated of solutions for a class of quasilinear elliptic problem where is a non-empty bounded domain with a smooth boundary an L1-Carateodory function, and parameter.In chapter 2, we get the existence of the solutions with the sub and super solutions method for the following quasilinear elliptic systems where is the pi-Laplacian operator defined by gi and fi are two series of ntegrable functions.