The Variational Solutions For Quasilinear Elliptic Equation Of Fourth Order

In this dissertation, we mainly study quasilinear elliptic equations of fourth order with variational structure.For p-Biharmonic equations involving nonlinear boundary, we study the existence and multiplicity of weak solutions of two classes of p-Biharmonic equations involving nonlinear boundary g(x, t) which are subcritical growth on t and critical growth on t and supercritical growth on t.For Nonuniformly nonlinear elliptic equations of p-Biharmonic type, we study the existence and multiplicity of weak solutions of two classes of p-Biharmonic equations involving nonlinear f(x, t) which is subcritical growth on t.For p-Biharmonic equations involving Hardy-Sobolev exponent, we study the existence of weak solutions of two classes of p-Biharmonic equations involving nonlinear f(x, t) which is subcritical growth on t.