Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8900076 | Journal of Mathematical Analysis and Applications | 2018 | 6 Pages |
Abstract
We concern in this paper the graph Yamabe equation Îu+hu=g|u|pâ2u, with known functions h and g on an infinite graph, the prototype of which comes from the smooth Yamabe equation on an open manifold. We prove the existence of a solution to the graph Yamabe equation under the assumption that (1) the graph Laplacian Î is a bounded operator and (2) g is bounded and h is large at infinity.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Huabin Ge, Wenfeng Jiang,