一类具$p$-Laplace非线性三点边值问题三个正解的存在性

The Existence of Three Positive Solutions for a Class of Nonlinear Three-Point Boundary Value Problem with $p$-Laplacian

中文关键词:  三点边值问题  Leggett and Williams不动点定理.

英文关键词:$p$-Laplacian operator  positive solution  three-point singular boundary value problem  fixed-point theorem.

中文摘要:

      利用Leggett and Williams不动点定理,研究了一类具p-Laplacian算子的非线性奇异三点边值问题三个正解的存在性,并建立了至少三个正解存在的充分条件.

英文摘要:

      This paper deals with the existence of three positive solutions for a class of nonlinear singular three-point boundary value problem with $p$-Laplacian. By means of a fixed point theorem duo to Leggett and Williams, sufficient condition for the existence of at least three positive solutions to the nonlinear singular three-point boundary value problem is established.