Existence and multiplicity of difference ϕ-Laplacian boundary value problems
- Resource Type
- Authors
- Dingyong Bai; Xianliang Xu
- Source
- Advances in Difference Equations. 2013
- Subject
- Algebra and Number Theory
Partial differential equation
Applied Mathematics
Ordinary differential equation
Mathematical analysis
Multiplicity (mathematics)
Boundary value problem
Mathematics::Spectral Theory
Laplace operator
Analysis
Open interval
Eigenvalues and eigenvectors
Mathematics
- Language
- ISSN
- 1687-1847
Concerned are the difference ϕ-Laplacian boundary value problems. The multiplicity result based on the lower and upper solutions method associated with Brouwer degree is applied to a difference ϕ-Laplacian eigenvalue problem. An existence result of at least three positive solutions is established for the eigenvalue problem with the parameter belonging to an explicit open interval. In addition, an example is given to illustrate the three solutions result.