Geodesic
Hidden Convexity in some Nonlinear PDEs from Geomety and Physics
Journal of convex analysis, Tome 17 (2010) no. 3, pp. 945-959

Voir la notice de l'article provenant de la source Heldermann Verlag

There is a prejudice among some specialists of non linear partial differential equations and differential geometry: convex analysis is an elegant theory but too rigid to address some of the most interesting and challenging problems in their field. Convex analysis is mostly attached to elliptic and parabolic equations of variational origin, for which a suitable convex potential can be exhibited and shown to be minimized (either statically or dynamically). The Dirichlet principle for linear elliptic equation is archetypal. 
@article{JCA_2010_17_3_JCA_2010_17_3_a13,
     author = {Y. Brenier},
     title = {Hidden {Convexity} in some {Nonlinear} {PDEs} from {Geomety} and {Physics}},
     journal = {Journal of convex analysis},
     pages = {945--959},
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     number = {3},
     year = {2010},
     url = {http://geodesic.mathdoc.fr/item/JCA_2010_17_3_JCA_2010_17_3_a13/}
}
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Y. Brenier. Hidden Convexity in some Nonlinear PDEs from Geomety and Physics. Journal of convex analysis, Tome 17 (2010) no. 3, pp. 945-959. http://geodesic.mathdoc.fr/item/JCA_2010_17_3_JCA_2010_17_3_a13/