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On the Dirichlet problem of prescribed mean curvature equations without H-convexity condition

Published online by Cambridge University Press:  22 January 2016

Kazuya Hayasida  and
Masao Nakatani
Kazuya Hayasida
Affiliation:
Department of Computational Science, Faculty of Science, Kanazawa University, Kanazawa, 920-1192, Japan
Masao Nakatani
Affiliation:
Department of Computational Science, Faculty of Science, Kanazawa University, Kanazawa, 920-1192, Japan
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Abstract

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The Dirichlet problem of prescribed mean curvature equations is well posed, if the boundery is H-convex. In this article we eliminate the H-convexity condition from a portion Γ of the boundary and prove the existence theorem, where the boundary condition is satisfied on Γ in the weak sense.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 157 , 2000 , pp. 177 - 209
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2000

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