一类带有p-Laplacian算子的分数阶积分边值问题的多重正解

Multiple Positive Solutions for Fractional In-tegral Boundary Value Problems with p-Laplacian Operators

本文研究了一类带有p-Laplacian算子的分数阶积分边值问题正解的存在性,通过研究格林函数的性质,运用锥拉伸锥压缩不动点定理以及Leggett-Williams不动点定理,获得了该边值问题至少存在一个正解及三个正解的充分条件,并给出实例验证所得结论。

Studying the properties of Green’s function and using the cone stretching cone compression fixed point theorem and the Leggett-Williams fixed point theorem, this paper studies the existence of positive solutions for a class of fractional integral boundary value problems with p-Laplacian oper-ators, obtains sufficient conditions for the existence of at least one positive solution and three posi-tive solutions to the boundary value problems, and gives some examples illustrating the results obtained.