【摘要】 应用Schauder不动点定理,研究含有一维p-Laplacian算子的非线性两点边值问题的可解性,得到这类方程的解的几个存在性定理,结果表明:如果非线性项在其定义域的某个有界子集上的"高度"是适当的,那么该问题必存在解或正解。更多还原

【Abstract】 By applying Schauder fixed point theorem,we study the solvability of one-dimensional p-Laplacian operator equation for the nonlinear two-point boundary value problems with one-dimensional p-Laplacian operator and get some existence theorems.The main results show that the class of equations has at least one solution or positive solution if the "height" of nonlinear term is appropriate on a bounded subset of its definitional domain.更多还原