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2000 On the Dirichlet problem of prescribed mean curvature equations without $H$-convexity condition
Kazuya Hayasida, Masao Nakatani
Nagoya Math. J. 157: 177-209 (2000).

Abstract

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 $\Gamma$ of the boundary and prove the existence theorem, where the boundary condition is satisfied on $\Gamma$ in the weak sense.

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Kazuya Hayasida. Masao Nakatani. "On the Dirichlet problem of prescribed mean curvature equations without $H$-convexity condition." Nagoya Math. J. 157 177 - 209, 2000.

Information

Published: 2000
First available in Project Euclid: 27 April 2005

zbMATH: 0965.35068
MathSciNet: MR1752481

Subjects:
Primary: 35J60
Secondary: 53A10, 58E15

Rights: Copyright © 2000 Editorial Board, Nagoya Mathematical Journal

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Vol.157 • 2000
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