含导数项的p-Laplacian算子多点边值问题三个正解的存在性

Existence of three positive solutions in a multi-points boundary value problem of p-Laplacian operator with first-order derivative

利用Leggett-Williams不动点定理的一个扩展定理,研究了非线性项含导数项的pLapla-cian算子多点边值问题,得到了三个正解存在的充分条件.

The existence of three positive solutions in a multi-points boundary value problem of differential equation with a p-Laplacian operator is investigated. An extension of the Leggett-Williams fixed point theorm is utilized and a sufficient condition for the existence of three positive solutions is obtained.