Multiple positive solutions for a class of nonlinear four-point boundary value problem with p-Laplacian

作者：Li Xiang feng^*

来源：Applied Mathematics-A Journal of Chinese Universities Series B, 2008, 23(2): 143-150.

DOI：10.1007/s11766-008-0203-3

• p-Laplacian operator
• multiple positive solution
• four-point singular boundary value problem
• fixed-point theorem

This paper deals with the existence of multiple positive solutions for a class of nonlinear singular four-point boundary value problem with p-Laplacian:
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where phi(x) = vertical bar x vertical bar(p-2) x, p > 1, a(t) may be singular at t = 0 and/or t = 1. By applying Leggett-Williams fixed point theorem and Schauder fixed point theorem, the sufficient conditions for the existence of multiple (at least three) positive solutions to the above four-point boundary value problem are provided. An example to illustrate the importance of the results obtained is also given.

• 出版日期2008-6
• 单位陇东学院