Existence and Multiplicity of Positive Solutions for a Fourth-Order P-Laplace Equations

The solvability of one dimensional fourth-order p-Laplace equations of the type , where, g(v) | v |^p–2 v, p > 1 is investigated. With cone compression/extension theorem, some existence and multiplicity results of positive solution have been required according to different growth condition of nonlinear form f at zero and at infinity.