Geodesic
Geometry of the free-sliding Bernoulli beam
Communications in Mathematics, Tome 24 (2016) no. 2, pp. 153-171

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

If a variational problem comes with no boundary conditions prescribed beforehand, and yet these arise as a consequence of the variation process itself, we speak of the free boundary values variational problem. Such is, for instance, the problem of finding the shortest curve whose endpoints can slide along two prescribed curves. There exists a rigorous geometric way to formulate this sort of problems on smooth manifolds with boundary, which we review here in a friendly self-contained way. As an application, we study the particular free boundary values variational problem of the free-sliding Bernoulli beam. This paper is dedicated to the memory of prof. Gennadi Sardanashvily.
Classification : 12X34, 58E30, 74K10
Keywords: Global Analysis; Calculus of Variations; Free Boundary Problems; Jet Spaces; Bernoulli Beam 
@article{COMIM_2016__24_2_a5,
     author = {Moreno, Giovanni and Stypa, Monika Ewa},
     title = {Geometry of the free-sliding {Bernoulli} beam},
     journal = {Communications in Mathematics},
     pages = {153--171},
     publisher = {mathdoc},
     volume = {24},
     number = {2},
     year = {2016},
     mrnumber = {3590212},
     zbl = {06697288},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/COMIM_2016__24_2_a5/}
}
TY  - JOUR
AU  - Moreno, Giovanni
AU  - Stypa, Monika Ewa
TI  - Geometry of the free-sliding Bernoulli beam
JO  - Communications in Mathematics
PY  - 2016
SP  - 153
EP  - 171
VL  - 24
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/COMIM_2016__24_2_a5/
LA  - en
ID  - COMIM_2016__24_2_a5
ER  - 
%0 Journal Article
%A Moreno, Giovanni
%A Stypa, Monika Ewa
%T Geometry of the free-sliding Bernoulli beam
%J Communications in Mathematics
%D 2016
%P 153-171
%V 24
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/COMIM_2016__24_2_a5/
%G en
%F COMIM_2016__24_2_a5
Moreno, Giovanni; Stypa, Monika Ewa. Geometry of the free-sliding Bernoulli beam. Communications in Mathematics, Tome 24 (2016) no. 2, pp. 153-171. http://geodesic.mathdoc.fr/item/COMIM_2016__24_2_a5/