一类p-Laplacian方程组边值问题的正解

Positive Solutions to a Class of Boundary Value Problem of p-Laplacian quations

讨论一类具p-Laplacian算子的方程组的边值问题,并利用不动点指数定理,建立满足初值条件的一个正解的存在性条件,改进和推广了相关文献中的一些结论。

A class of boundary value problem of p-Laplacian equations is discussed in this paper.Using the fixed-point theorem,the conditions of the existence of one positive solution are established.Some recent results in relative articles are extended and improved.