An example of non-convex minimization and an application to Newton's problem of the body of least resistance
Annales de l'I.H.P. Analyse non linéaire, Volume 18 (2001) no. 2, p. 179-198
@article{AIHPC_2001__18_2_179_0,
author = {Lachand-Robert, Thomas and Peletier, M. A.},
title = {An example of non-convex minimization and an application to Newton's problem of the body of least resistance},
journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
publisher = {Elsevier},
volume = {18},
number = {2},
year = {2001},
pages = {179-198},
zbl = {0993.49002},
mrnumber = {1808028},
language = {en},
url = {http://www.numdam.org/item/AIHPC_2001__18_2_179_0}
}

Lachand-Robert, T.; Peletier, M. A. An example of non-convex minimization and an application to Newton's problem of the body of least resistance. Annales de l'I.H.P. Analyse non linéaire, Volume 18 (2001) no. 2, pp. 179-198. http://www.numdam.org/item/AIHPC_2001__18_2_179_0/

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