A Dirichlet problem for an H-system with variable H |
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Authors: | Enrique Lami Dozo María Cristina Mariani |
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Institution: | (1) Inst. Argentino de Matemática, CONICET, Viamonte 1636, 1er. cuerpo, 1er. piso 1055, Buenos Aires, Argentina;(2) Departmento de Matemática, Facultad de Ciencias Exactas y Naturales, UBA, Argentina;(3) Departmento de Matemática, Facultad de Ciencias Exactas y Naturales, UBA CONICET, Argentina |
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Abstract: | We give conditions onH, a continuous and bounded real function inR
3, to obtain at least two solutions for the problem (Dir) below.H can be far from being constant in the sense of 9]. Our motivation is a better understanding of the Plateau problem for the
prescribed mean curvature equation. |
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Keywords: | |
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