Elasticae and inradius
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Publication:515528
DOI10.1007/s00013-016-0999-7zbMath1358.52003arXiv1608.00727OpenAlexW2506112121MaRDI QIDQ515528
Antoine Henrot, Othmane Mounjid
Publication date: 16 March 2017
Published in: Archiv der Mathematik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1608.00727
Inequalities and extremum problems involving convexity in convex geometry (52A40) Optimization of shapes other than minimal surfaces (49Q10) Convex sets in (2) dimensions (including convex curves) (52A10)
Related Items
Geometric inequalities involving mean curvature for closed surfaces, Conformal mapping, convexity and total absolute curvature
Cites Work
- The elastica problem under area constraint
- An isoperimetric inequality with applications to curve shortening
- A new isoperimetric inequality for the elasticae
- Elastic energy of a convex body
- First and second-order necessary and sufficient optimality conditions for infinite-dimensional programming problems
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