Existencia y unicidad de soluciones para ecuaciones del tipo curvatura media prescripta
In this work we study the Dirichlet problem associated to the prescribedmean curvature equation. We obtain existence and local and global uniquenessfor the general and the nonparametric case under different conditions on the meancurvature H and the boundary data g. We also prove that if H and g ares...
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| Formato: | Tesis doctoral publishedVersion |
| Lenguaje: | Español |
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Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales
1998
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| Acceso en línea: | https://hdl.handle.net/20.500.12110/tesis_n3088_Amster http://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=aextesis&d=tesis_n3088_Amster_oai |
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| Sumario: | In this work we study the Dirichlet problem associated to the prescribedmean curvature equation. We obtain existence and local and global uniquenessfor the general and the nonparametric case under different conditions on the meancurvature H and the boundary data g. We also prove that if H and g aresmooth, solutions are classic. Moreover, we prove in both cases that if there is asolution for some Ho and go , then there exists also a solution for H and g closeto Ho and go. We also study some semilinear equations of the type X’ = F(t,X) withboundary data X(0) = g(X(a)) , for which we obtain existence and uniquenessresults under some conditions on the continuous functions F and g. For theperiodic case (g = I), we give some criteria for the existence of solutions, and anuniqueness result. |
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