Symmetric positive solutions for p-Laplacian fourth-order differential equations with integral boundary conditions

Authors:
Xuemei Zhang;Meiqiang Feng;Weigao Ge
Affiliations:
Department of Mathematics and Physics, North China Electric Power University, Beijing, 102206, PR China and Department of Applied Mathematics, Beijing Institute of Technology, Beijing, 100081, PR ...;Department of Fundamental Sciences, Beijing Information Technology Institute, Beijing, 100101, PR China and Department of Applied Mathematics, Beijing Institute of Technology, Beijing, 100081, PR ...;Department of Applied Mathematics, Beijing Institute of Technology, Beijing, 100081, PR China
Venue:
Journal of Computational and Applied Mathematics
Year:
2008

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Abstract

This paper investigates the existence and multiplicity of symmetric positive solutions for a class of p-Laplacian fourth-order differential equations with integral boundary conditions. The arguments are based upon a specially constructed cone and the fixed point theory for cones. The nonexistence of a positive solution is also studied.