Dirichlet problem for evolutionary surfaces of prescribed mean curvature in a non-convex domain

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概要

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• We show the existence of solutions for Dirichlet problem of evolutionary surfaces of prescribed mean curvature. Usually the lateral boundary needs to satisfy a kind of convexity, more precisely H-convexity condition. But in this article we do not assume it on a portion S of the lateral boundary. Under some assumptions on the exterior forces and the shape of S we prove that the solution satisfies Dirichlet boundary condition on S in a weak sense.

• 社団法人 日本数学会の論文
• 2004-10-01

著者

• Hayasida Kazuya

  Fukui University Of Technology

• Ikeda Yoshiaki

  Aichi University Of Education

関連論文

• Dirichlet problem for evolutionary surfaces of prescribed mean curvature in a non-convex domain

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