Caustics and evolutes for convex planar domains
نویسندگان
چکیده
منابع مشابه
Sharp bounds for the p-torsion of convex planar domains
We obtain some sharp estimates for the p-torsion of convex planar domains in terms of their area, perimeter, and inradius. The approach we adopt relies on the use of web functions (i.e. functions depending only on the distance from the boundary), and on the behaviour of the inner parallel sets of convex polygons. As an application of our isoperimetric inequalities, we consider the shape optimiz...
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ژورنال
عنوان ژورنال: Journal of Differential Geometry
سال: 1988
ISSN: 0022-040X
DOI: 10.4310/jdg/1214442283