Abstract:
Hölder continuity up to the free boundary is proved for minimizing solutions if they meet the supporting surface in an angle which is bounded away from zero. The problem is localized by proving the continuity of the distance function, a result which is also true for stationary points.
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Received: 14 April 1998
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Bildhauer, M. On the free boundary of surfaces with bounded mean curvature: the non-perpendicular case. manuscripta math. 97, 389–406 (1998). https://doi.org/10.1007/s002290050110
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DOI: https://doi.org/10.1007/s002290050110