Advances in Difference Equations
Volume 2008 (2008), Article ID 345916, 10 pages
doi:10.1155/2008/345916
Three Solutions to Dirichlet Boundary Value Problems for p-Laplacian Difference Equations
Liqun Jiang1
and Zhan Zhou2
1Department of Mathematics and Computer Science, Jishou University, Jishou, Hunan 416000, China
2Department of Applied Mathematics, Hunan University, Changsha, Hunan 410082, China
Abstract
We deal with Dirichlet boundary value problems for p-Laplacian difference equations depending on a parameter λ. Under some assumptions, we verify the existence of at least three solutions when λ lies in two exactly determined open intervals respectively. Moreover, the norms of these solutions are uniformly bounded in respect to λ belonging to one of the two open intervals.