The authors solve the even capillary L_p-Minkowski problem for -n < p < 1, proving existence of smooth even capillary hypersurfaces with prescribed curvature in the half-space.
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Capillary curvature images
The authors solve the even capillary L_p-Minkowski problem for -n < p < 1, proving existence of smooth even capillary hypersurfaces with prescribed curvature in the half-space.