https://www.scipedia.com/wd/index.php?action=history&feed=atom&title=Carlier_Brasco_2012a 2026-05-02T08:21:18Z Revision history for this page on the wiki MediaWiki 1.27.0-wmf.10 https://www.scipedia.com/wd/index.php?title=Carlier_Brasco_2012a&diff=215662&oldid=prev 2021-02-16T09:47:21Z

<p>Scipediacontent moved page <a href="/public/Draft_Content_889967354" class="mw-redirect" title="Draft Content 889967354">Draft Content 889967354</a> to <a href="/public/Carlier_Brasco_2012a" title="Carlier Brasco 2012a">Carlier Brasco 2012a</a></p> <table class="diff diff-contentalign-left" data-mw="interface"> <tr style='vertical-align: top;' lang='en'> <td colspan='1' style="background-color: white; color:black; text-align: center;">← Older revision</td> <td colspan='1' style="background-color: white; color:black; text-align: center;">Revision as of 09:47, 16 February 2021</td> </tr><tr><td colspan='2' style='text-align: center;' lang='en'><div class="mw-diff-empty">(No difference)</div> </td></tr></table>

Scipediacontent https://www.scipedia.com/wd/index.php?title=Carlier_Brasco_2012a&diff=215661&oldid=prev 2021-02-16T09:47:19Z

<p>Created page with &quot; == Abstract == Congested traffic problems on very dense networks lead, at the limit, to minimization problems posed on measures on curves as shown in Baillon and Carlier (Ne...&quot;</p> <p><b>New page</b></p><div><br /> == Abstract ==<br /> <br /> Congested traffic problems on very dense networks lead, at the limit, to minimization problems posed on measures on curves as shown in Baillon and Carlier (Netw. Heterog. Media 7:219–241, 2012 ). Here, we go one step further by showing that these problems can be reformulated in terms of the minimization of an integral functional over a set of vector fields with prescribed divergence as in Beckmann (Econometrica 20:643–660, 1952 ). We prove a Sobolev regularity result for their minimizers despite the fact that the Euler–Lagrange equation of the dual is highly degenerate and anisotropic. This somehow extends the analysis of Brasco et al. (J. Math. Pures Appl. 93:652–671, 2010 ) to the anisotropic case. Copyright Springer Science+Business Media New York 2013<br /> <br /> <br /> == Original document ==<br /> <br /> The different versions of the original document can be found in:<br /> <br /> * [http://dx.doi.org/10.1007/s13235-013-0081-z http://dx.doi.org/10.1007/s13235-013-0081-z]<br /> <br /> * [https://hal.archives-ouvertes.fr/hal-00734555/file/bracar0912.pdf https://hal.archives-ouvertes.fr/hal-00734555/file/bracar0912.pdf]<br /> <br /> * [http://link.springer.com/content/pdf/10.1007/s13235-013-0081-z.pdf http://link.springer.com/content/pdf/10.1007/s13235-013-0081-z.pdf],<br /> : [http://link.springer.com/article/10.1007/s13235-013-0081-z/fulltext.html http://link.springer.com/article/10.1007/s13235-013-0081-z/fulltext.html],<br /> : [http://link.springer.com/content/pdf/10.1007/s13235-013-0081-z http://link.springer.com/content/pdf/10.1007/s13235-013-0081-z],<br /> : [http://dx.doi.org/10.1007/s13235-013-0081-z http://dx.doi.org/10.1007/s13235-013-0081-z] under the license http://www.springer.com/tdm<br /> <br /> * [https://hal.archives-ouvertes.fr/hal-00734555 https://hal.archives-ouvertes.fr/hal-00734555],<br /> : [https://hal.archives-ouvertes.fr/hal-00734555/document https://hal.archives-ouvertes.fr/hal-00734555/document],<br /> : [https://hal.archives-ouvertes.fr/hal-00734555/file/bracar0912.pdf https://hal.archives-ouvertes.fr/hal-00734555/file/bracar0912.pdf]<br /> <br /> * [https://www.ceremade.dauphine.fr/~carlier/bracar0912.pdf https://www.ceremade.dauphine.fr/~carlier/bracar0912.pdf],<br /> : [https://link.springer.com/article/10.1007%2Fs13235-013-0081-z https://link.springer.com/article/10.1007%2Fs13235-013-0081-z],<br /> : [https://core.ac.uk/display/54713526 https://core.ac.uk/display/54713526],<br /> : [http://cvgmt.sns.it/media/doc/paper/1993/bracar0912-revised.pdf http://cvgmt.sns.it/media/doc/paper/1993/bracar0912-revised.pdf],<br /> : [https://dblp.uni-trier.de/db/journals/dga/dga3.html#BrascoC13 https://dblp.uni-trier.de/db/journals/dga/dga3.html#BrascoC13],<br /> : [https://ideas.repec.org/a/spr/dyngam/v3y2013i4p508-522.html https://ideas.repec.org/a/spr/dyngam/v3y2013i4p508-522.html],<br /> : [https://hal.archives-ouvertes.fr/hal-00734555 https://hal.archives-ouvertes.fr/hal-00734555],<br /> : [https://hal.archives-ouvertes.fr/hal-00734555/document https://hal.archives-ouvertes.fr/hal-00734555/document],<br /> : [https://basepub.dauphine.fr/handle/123456789/10224 https://basepub.dauphine.fr/handle/123456789/10224],<br /> : [https://academic.microsoft.com/#/detail/2159116096 https://academic.microsoft.com/#/detail/2159116096]</div>

Scipediacontent