Trends in Researches for Fourth Order Elliptic Equations with Dirichlet Boundary Condition

  • Published : 2003.12.01


The nonlinear fourth order elliptic equations with jumping nonlinearity was modeled by McKenna. We investigate the trends for the researches of the existence of solutions of a fourth order semilinear elliptic boundary value problem with Dirichlet boundary Condition, ${\Delta}^2u{+}c{\Delta}u=b_1[(u+1)^{-}1]{+}b_2u^+$ in ${\Omega}$, where ${\Omega}$ is a bounded open set in $R^N$ with smooth boundary ${\partial}{\Omega}$.



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