{ "id": "1610.04916", "version": "v1", "published": "2016-10-16T21:06:06.000Z", "updated": "2016-10-16T21:06:06.000Z", "title": "Nodal solutions for fourth order elliptic equations with critical exponent on compact manifolds", "authors": [ "Mohamed Bekiri", "Mohammed Benalili" ], "comment": "15", "categories": [ "math.AP" ], "abstract": "Using a variational method we prove the existence of nodal solutions to prescribed scalar Q- curvature type equations on compact Riemannian manifolds with boundary; these equations are fourth-order elliptic equations with critical Sobolev growth .", "revisions": [ { "version": "v1", "updated": "2016-10-16T21:06:06.000Z" } ], "analyses": { "subjects": [ "58J05", "I.7.2" ], "keywords": [ "fourth order elliptic equations", "nodal solutions", "compact manifolds", "critical exponent", "curvature type equations" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }