Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4609878 | Journal of Differential Equations | 2016 | 25 Pages |
Abstract
In this paper we extend Hardy–Littlewood–Sobolev inequalities on compact Riemannian manifolds for dimension n≠2n≠2. As one application, we solve a generalized Yamabe problem on locally conformally flat manifolds via a new designed energy functional and a new variational approach. Even for the classic Yamabe problem on locally conformally flat manifolds, our approach provides a new and relatively simpler solution.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Yazhou Han, Meijun Zhu,