The existence results for solutions of indefinite scalar curvature problem

Simple item page
dc.creatorMa, Li
dc.creatorDu, Yihong
dc.date2008-10-23
dc.date.accessioned2026-07-07T10:12:39Z
dc.date.available2026-07-07T10:12:39Z
dc.descriptionIn this paper, we consider the indefinite scalar curvature problem on $R^n$. We propose new conditions on the prescribing scalar curvature function such that the scalar curvature problem on $R^n$ (similarly, on $S^n$) has at least one solution. The key observation in our proof is that we use the bifurcation method to get a large solution and then after establishing the Harnack inequality for solutions near the critical points of the prescribed scalar curvature and taking limit, we find the nontrivial positive solution to the indefinite scalar curvature problem.
dc.description31 pages
dc.identifierhttps://arxiv.org/abs/0810.4190
dc.identifierhttp://arxiv.org/abs/0810.4190
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/172256
dc.subjectDifferential Geometry
dc.subjectAnalysis of PDEs
dc.subject53Cxx, 35Jxx
dc.titleThe existence results for solutions of indefinite scalar curvature problem
dc.typetext

Files

Collections

arXiv