一维p-Laplace耦合奇异边值问题正解的存在性

Existence of Positive Solutions to the One-dimensional p-Laplacian Coupled Singular Boundary Value Problem

本文通过构造Banach空间上的算子和结合不动点指数定理,在较弱条件下证明了一维p-Laplace耦合奇异边值问题至少存在一个正解,同时给出了边值问题有两个正解的存在性定理,推广并改进了一些已知的结果。

By constructing operators in Banach space and combining the fixed-point theory, we study the existence of at least one positive solution for one-dimensional p-Laplacian coupled singular boundary value problems under weaker conditions. Moreover, the authors present the existence theory of two positive solutions for the boundary value problems. The results extend and improve known results.