|
|||||
 |
|
|
|
|
|
Spectrum of the
Laplacian on graphs of radial functions
Rodrigo Matos and Fabio Montenegro
Vol. 10 (2017), No. 4, 677–690
|
Abstract |
|
We prove that if is a complete, noncompact hypersurface in , which is the graph of a real radial function, then the spectrum of the Laplace operator on is the interval . |
Keywords
Complete surface, Laplace operator, spectrum
|
Mathematical Subject Classification 2010
Primary: 58J50
Secondary: 58C40
|
Milestones
Received: 22 February 2016
Revised: 26 June 2016
Accepted: 11 July 2016
Published: 7 March 2017
Communicated by Martin J. Bohner
|
Authors |
| Rodrigo Matos | |
| Department of Mathematics Michigan State University East Lansing, MI 48824 United States |
|
| Fabio Montenegro | |
| Departamento de Matemática Universidade Federal do Ceará (UFC) Av. Humberto Monte, s/n Campus do Pici, Bloco 914 60455-760 Fortaleza- Brazil |
|
|
