Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
469034 | Computers & Mathematics with Applications | 2011 | 13 Pages |
Abstract
In this paper, we discuss the existence and the uniqueness of discrete boundary value problems involving the p-Laplacian with potential terms. To this end, we deal with the strong comparison principle and the Dirichlet principle for the p-Laplacian with potential terms on weighted graphs with boundary. Moreover, we provide a lower bound of the potential terms which guarantees the existence of solutions of the boundary value problem for the operator. Finally, we also discuss inverse conductivity and potential problems for the operator.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Jea-Hyun Park, Soon-Yeong Chung,