Some Properties Of Solutions For Quasilinear Elliptic Equations

This thesis mainly considers some properties of solutions for quasilinear elliptic equations. It consists of two parts.In the first part, we consider some convergence properties of quasilinear elliptic equation as follows: Assumes that the nonlinear term f satisfies some conditions. We obtain that cor-responding functional I of problem (P) has a critical value sequence converging to zero, and at least a critical point sequence converging to zero.In the second part, we consider the infinitely many solutions of quasilinear elliptic equation as follows: Assumes that the nonlinear term f and g satisfies some conditions, the problem (5) has infinitely many solutions{uk}.As kâ†'∞, we have...