Positive Solutions for Fourth-Order Singular p-Laplacian Differential Equations with Integral Boundary Conditions. (19th August 2010)

• Record Type: Journal Article
• Authors: Zhang Zhang, Xingqiu Xingqiu; Cui Cui, Yujun Yujun
• Other Names: Alves Alves Claudianor O. Claudianor O. Academic Editor.
• Is Part Of: Boundary value problems. Volume 2010(2010)
• Publication Date: 2010-08-19
• Subjects: Boundary value problems -- Periodicals; Boundary value problems; Electronic journals; Periodicals; 515.35
• DOI: 10.1155/2010/862079
• Languages: English
• ISSNs: 1687-2762

Abstract

Abstract : By employing upper and lower solutions method together with maximal principle, we establish a necessary and sufficient condition for the existence of pseudo-C 3 [ 0, 1 ] as well as C 2 [ 0, 1 ] positive solutions for fourth-order singular p -Laplacian differential equations with integral boundary conditions. Our nonlinearity f may be singular at t = 0, t = 1, and u = 0 . The dual results for the other integral boundary condition are also given.