The limiting behavior of the value-function for variational problems arising in continuum mechanics
Annales de l'I.H.P. Analyse non linéaire, Tome 27 (2010) no. 1, p. 57-72
In this paper we study the limiting behavior of the value-function for one-dimensional second order variational problems arising in continuum mechanics. The study of this behavior is based on the relation between variational problems on bounded large intervals and a limiting problem on $\left[0,\infty \right)$.
DOI : https://doi.org/10.1016/j.anihpc.2009.07.005
Classification:  49J99
@article{AIHPC_2010__27_1_57_0,
author = {Zaslavski, Alexander J.},
title = {The limiting behavior of the value-function for variational problems arising in continuum mechanics},
journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
publisher = {Elsevier},
volume = {27},
number = {1},
year = {2010},
pages = {57-72},
doi = {10.1016/j.anihpc.2009.07.005},
zbl = {1181.49003},
language = {en},
url = {http://www.numdam.org/item/AIHPC_2010__27_1_57_0}
}

Zaslavski, Alexander J. The limiting behavior of the value-function for variational problems arising in continuum mechanics. Annales de l'I.H.P. Analyse non linéaire, Tome 27 (2010) no. 1, pp. 57-72. doi : 10.1016/j.anihpc.2009.07.005. https://www.numdam.org/item/AIHPC_2010__27_1_57_0/

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