An H-system for a revolution surface without boundary
We study the existence of solutions an H-system for a revolution surface without boundary for H depending on the radius f. Under suitable conditions we prove that the existence of a solution is equivalent to the solvability of a scalar equation N(a) = L/√2, where N:script A⊂ℝ+→ℝ is a function depend...
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_10853375_v2006_n_p_Amster |
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todo:paper_10853375_v2006_n_p_Amster2023-10-03T16:04:16Z An H-system for a revolution surface without boundary Amster, P. De Nápoli, P. Mariani, M.C. We study the existence of solutions an H-system for a revolution surface without boundary for H depending on the radius f. Under suitable conditions we prove that the existence of a solution is equivalent to the solvability of a scalar equation N(a) = L/√2, where N:script A⊂ℝ+→ℝ is a function depending on H. Moreover, using the method of upper and lower solutions we prove existence results for some particular examples. In particular, applying a diagonal argument we prove the existence of unbounded surfaces with prescribed H. Copyright © 2006 P. Amster et al. Fil:Amster, P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:De Nápoli, P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Mariani, M.C. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_10853375_v2006_n_p_Amster |
| institution |
Universidad de Buenos Aires |
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I-28 |
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R-134 |
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| description |
We study the existence of solutions an H-system for a revolution surface without boundary for H depending on the radius f. Under suitable conditions we prove that the existence of a solution is equivalent to the solvability of a scalar equation N(a) = L/√2, where N:script A⊂ℝ+→ℝ is a function depending on H. Moreover, using the method of upper and lower solutions we prove existence results for some particular examples. In particular, applying a diagonal argument we prove the existence of unbounded surfaces with prescribed H. Copyright © 2006 P. Amster et al. |
| format |
JOUR |
| author |
Amster, P. De Nápoli, P. Mariani, M.C. |
| spellingShingle |
Amster, P. De Nápoli, P. Mariani, M.C. An H-system for a revolution surface without boundary |
| author_facet |
Amster, P. De Nápoli, P. Mariani, M.C. |
| author_sort |
Amster, P. |
| title |
An H-system for a revolution surface without boundary |
| title_short |
An H-system for a revolution surface without boundary |
| title_full |
An H-system for a revolution surface without boundary |
| title_fullStr |
An H-system for a revolution surface without boundary |
| title_full_unstemmed |
An H-system for a revolution surface without boundary |
| title_sort |
h-system for a revolution surface without boundary |
| url |
http://hdl.handle.net/20.500.12110/paper_10853375_v2006_n_p_Amster |
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1807321113845301248 |