Multiple Solutions for a Class of Multipoint Boundary Value Systems Driven by a One-Dimensional (𝑝1,…,𝑝𝑛)-Laplacian Operator

Multiple Solutions for a Class of Multipoint Boundary Value Systems Driven by a One-Dimensional (𝑝1,…,𝑝𝑛)-Laplacian Operator

Employing a recent three critical points theorem due to Bonanno and Marano (2010), the existence of at least three solutions for the following multipoint boundary value system −(|𝑢𝑖|𝑝𝑖−2𝑢𝑖)′=𝜆𝐹𝑢𝑖(𝑥,𝑢1,…,𝑢𝑛) in (0,1), 𝑢𝑖∑(0)=𝑚𝑗=1𝑎𝑗𝑢𝑖(𝑥𝑗), 𝑢𝑖∑(1)=𝑚𝑗=1𝑏𝑗𝑢𝑖(𝑥𝑗) for 1≤𝑖≤𝑛, is established....

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Bibliographic Details
Main Author: Shapour Heidarkhani
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/389530

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