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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2006
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_10853375_v2006_n_p_Amster https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_10853375_v2006_n_p_Amster_oai |
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I28-R145-paper_10853375_v2006_n_p_Amster_oai2024-08-16 Amster, P. De Nápoli, P. Mariani, M.C. 2006 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. application/pdf http://hdl.handle.net/20.500.12110/paper_10853375_v2006_n_p_Amster info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar Abstr. Appl. Anal. 2006;2006 An H-system for a revolution surface without boundary info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_10853375_v2006_n_p_Amster_oai |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-145 |
| collection |
Repositorio Digital de la Universidad de Buenos Aires (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 |
Artículo Artículo publishedVersion |
| 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 |
| publishDate |
2006 |
| url |
http://hdl.handle.net/20.500.12110/paper_10853375_v2006_n_p_Amster https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_10853375_v2006_n_p_Amster_oai |
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1809357113499058176 |