【摘要】 讨论了如下形式一维四阶p_Laplace方程的可解性　　 (g(u″) )″ +λa(t)f(u) =0　　 0 <t <1,u(0 ) =u(1) =u″(0 ) =u″(1) =0 ,这里 ,g(v) :=｜v｜p- 2 v,p >1·　用锥拉伸与锥压缩不动点定理 ,根据非线性项f在 0及无穷远处的不同增长情况 ,获得了一些正解的存在性及多解性结果更多还原

【Abstract】 The solvability of one_dimensional fourth_order p_Laplace equations of the type (g(u″))″+λa(t)f(u)=0 0<t<1, u(0)=u(1)=u″(0)=u″(1)=0, 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.更多还原