On the Newton partially flat minimal resistance body type problems
M. Comte, Jesus Ildefonso Díaz (2005)
Journal of the European Mathematical Society
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We study the flat region of stationary points of the functional under the constraint , where is a bounded domain in . Here is a function which is concave for small and convex for large, and is a given constant. The problem generalizes the classical minimal resistance body problems considered by Newton. We construct a family of partially flat radial solutions to the associated stationary problem when is a ball. We also analyze some other qualitative properties. Moreover,...