带有p-Laplacian算子边值问题正解的存在性和唯一性

摘要

利用偏序集上的不动点定理证明一类具有p-Laplacian 算子的m点边值问题，得到了该问题正解的存在性和唯一性，并证明了该正解是严格单调递增的。%We considered a class of m-point boundary value problem with p-Laplacian operator with the help of a fixed-point theorem in partially ordered sets and obtained sufficient conditions for the existence and uniqueness of positive solution to the above boundary value problem.Finally,we showed that this solution is strictly monotonic increasing.