A boundary value problem in the hyperbolic space
We consider a nonlinear problem for the mean curvature equation in the hyperbolic space with a Dirichlet boundary data g. We find solutions in a Sobolev space under appropriate conditions on g.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1999-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/S1085337599000251 |
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| _version_ | 1832555984183099392 |
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| author | P. Amster G. Keilhauer M. C. Mariani |
| author_facet | P. Amster G. Keilhauer M. C. Mariani |
| author_sort | P. Amster |
| collection | DOAJ |
| description | We consider a nonlinear problem for the mean curvature equation
in the hyperbolic space with a Dirichlet boundary data g. We find solutions in a Sobolev space under appropriate conditions on
g. |
| format | Article |
| id | doaj-art-3de1da38dcca4c479048124dcdcd139e |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 1999-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-3de1da38dcca4c479048124dcdcd139e2025-02-03T05:46:43ZengWileyAbstract and Applied Analysis1085-33751687-04091999-01-014424925310.1155/S1085337599000251A boundary value problem in the hyperbolic spaceP. Amster0G. Keilhauer1M. C. Mariani2Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires Pabellón I, Ciudad Universitaria, Buenos Aires 1428, ArgentinaDepartamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires Pabellón I, Ciudad Universitaria, Buenos Aires 1428, ArgentinaDepartamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires Pabellón I, Ciudad Universitaria, Buenos Aires 1428, ArgentinaWe consider a nonlinear problem for the mean curvature equation in the hyperbolic space with a Dirichlet boundary data g. We find solutions in a Sobolev space under appropriate conditions on g.http://dx.doi.org/10.1155/S1085337599000251 |
| spellingShingle | P. Amster G. Keilhauer M. C. Mariani A boundary value problem in the hyperbolic space Abstract and Applied Analysis |
| title | A boundary value problem in the hyperbolic space |
| title_full | A boundary value problem in the hyperbolic space |
| title_fullStr | A boundary value problem in the hyperbolic space |
| title_full_unstemmed | A boundary value problem in the hyperbolic space |
| title_short | A boundary value problem in the hyperbolic space |
| title_sort | boundary value problem in the hyperbolic space |
| url | http://dx.doi.org/10.1155/S1085337599000251 |
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