Solutions to the mean curvature equation by fixed point methods

We give conditions on the boundary data, in order to obtain at least one solution for the problem (1) below, with H a smooth function. Our motivation is a better understanding of the Plateau's problem for the prescribed mean curvature equation.

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Detalles Bibliográficos
Autores principales: Mariani, M.C., Rial, D.F.
Formato: JOUR
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Acceso en línea:http://hdl.handle.net/20.500.12110/paper_13701444_v4_n5_p617_Mariani
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Sumario:We give conditions on the boundary data, in order to obtain at least one solution for the problem (1) below, with H a smooth function. Our motivation is a better understanding of the Plateau's problem for the prescribed mean curvature equation.