摘要
Assume alpha >= p > 1. Consider the following p-th Yamabe equation on a connected finite graph G: Delta(p)phi + h phi(p-1) = lambda f phi(alpha-1), where Delta(p) is the discrete p-Laplacian, h and f > 0 are known real functions defined on all vertices. We show that the above equation always has a positive solution phi for some constant lambda is an element of R.
- 出版日期2018-5
- 单位北京交通大学