Prescribed mean curvature equations under the transformation with non-orthogonal curvilinear coordinates |
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| Authors: | Kazuya Hayasida Yoshiaki Ikeda |
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| Institution: | 1. Fukui University of Technology, Gakuen 3-6-1, Fukui-city, 910-8505, Japan;2. Aichi University of Education, Department of Mathematics, Igaya-cho, Kariya-city, 448-8542, Japan |
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| Abstract: | The aim of this paper is to investigate the Dirichlet problem of prescribed mean curvature equations. We show the existence of a weak solution. The boundary of domains does not always satisfy the H-convexity condition. Our method is not to construct the barrier functions directly, but to use some uniform estimate for solutions of the approximating regularized solutions. |
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| Keywords: | 35J65 35J60 |
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