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

  • Kazuya Hayasida (a1) and Masao Nakatani (a1)

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

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References

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

  • Kazuya Hayasida (a1) and Masao Nakatani (a1)

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