{ "id": "2304.10412", "version": "v1", "published": "2023-04-20T15:53:07.000Z", "updated": "2023-04-20T15:53:07.000Z", "title": "A note on Kazdan-Warner type equations on compact Riemannian manifolds", "authors": [ "Weike Yu" ], "comment": "12 pages", "categories": [ "math.AP" ], "abstract": "In this note, we prove an existence result for generalized Kazdan-Warner equations on compact Riemannian manifolds by using the flow approach or the upper and lower solution method. In addition, we give a prior estimate for this type equations.", "revisions": [ { "version": "v1", "updated": "2023-04-20T15:53:07.000Z" } ], "analyses": { "subjects": [ "53B20", "53C44", "35J91" ], "keywords": [ "compact riemannian manifolds", "kazdan-warner type equations", "lower solution method", "existence result", "generalized kazdan-warner equations" ], "note": { "typesetting": "TeX", "pages": 12, "language": "en", "license": "arXiv", "status": "editable" } } }