## Nagoya Mathematical Journal

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

#### 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.

#### Article information

Source
Nagoya Math. J., Volume 157 (2000), 177-209.

Dates
First available in Project Euclid: 27 April 2005

https://projecteuclid.org/euclid.nmj/1114631349

Mathematical Reviews number (MathSciNet)
MR1752481

Zentralblatt MATH identifier
0965.35068

#### Citation

Hayasida, Kazuya; Nakatani, Masao. On the Dirichlet problem of prescribed mean curvature equations without $H$-convexity condition. Nagoya Math. J. 157 (2000), 177--209. https://projecteuclid.org/euclid.nmj/1114631349

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