Trudinger-Moser inequalities on complete noncompact Riemannian manifolds
Differential Geometry
2011-12-06 v1
Abstract
Though Trudinger-Moser inequalities on compact Riemannian manifolds or Euclidean space are well understood, we know little about them on complete noncompact Riemannian manifolds. In this paper, we established respectively necessary condition and sufficient condition under which Trudinger-Moser inequalities hold on complete noncompact Riemannian manifolds. For applications of such inequalities, we obtained existence results for some quasilinear equations with nonlinearity of exponential growth.
Keywords
Cite
@article{arxiv.1112.0724,
title = {Trudinger-Moser inequalities on complete noncompact Riemannian manifolds},
author = {Yunyan Yang},
journal= {arXiv preprint arXiv:1112.0724},
year = {2011}
}
Comments
37 pages