An Extension of Barta's Theorem and Geometric Applications
| dc.creator | Bessa, G. Pacelli | |
| dc.creator | Montenegro, J. Fabio | |
| dc.date | 2003-08-11 | |
| dc.date | 2005-06-16 | |
| dc.date.accessioned | 2026-07-07T09:37:07Z | |
| dc.date.available | 2026-07-07T09:37:07Z | |
| dc.description | We prove an extension of a theorem of Barta then we make few geometric applications. We extend Cheng's lower eigenvalue estimates of normal geodesic balls. We generalize Cheng-Li-Yau eigenvalue estimates of minimal submanifolds of the space forms. We prove an stability theorem for minimal hypersurfaces of the Euclidean space, giving a converse statement of a result of Schoen. Finally we prove a generalization of a result of Kazdan-Kramer about existence of solutions of certain quasi-linear elliptic equations. | |
| dc.description | 23 pages. This paper is an improved version of our paper of the same Titled posted here | |
| dc.identifier | https://arxiv.org/abs/math/0308099 | |
| dc.identifier | http://arxiv.org/abs/math/0308099 | |
| dc.identifier | Ann. Global Anal. Geom. 31 (2007), no. 4, 345--362. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/160349 | |
| dc.subject | Differential Geometry | |
| dc.subject | 58C40, 58J50, 58J32 | |
| dc.title | An Extension of Barta's Theorem and Geometric Applications | |
| dc.type | text |