@article {2016,
	title = {Eulerian, Lagrangian and Broad continuous solutions to a balance law with non-convex flux I},
	journal = {Journal of Differential Equations, vol. 261, issue 8 (2016): 4298-4337},
	number = {Journal of Differential Equations;261},
	year = {2016},
	publisher = {Elsevier},
	doi = {10.1016/j.jde.2016.06.026},
	url = {http://urania.sissa.it/xmlui/handle/1963/35207},
	author = {Giovanni Alberti and Stefano Bianchini and Laura Caravenna}
}
@article {2016,
	title = {Eulerian, Lagrangian and Broad continuous solutions to a balance law with non convex flux II},
	number = {SISSA;32/2016/MATE},
	year = {2016},
	url = {http://urania.sissa.it/xmlui/handle/1963/35197},
	author = {Giovanni Alberti and Stefano Bianchini and Laura Caravenna}
}
@inbook {2013,
	title = {Reduction on characteristics for continuous of a scalar balance law},
	booktitle = {AIMS Series on Applied Mathematics, vol. 8 (2014): 399 - 406},
	number = {AIMS Series on Applied Mathematics},
	year = {2014},
	publisher = {SISSA},
	organization = {SISSA},
	keywords = {Method of characteristics},
	url = {http://hdl.handle.net/1963/6562},
	author = {Giovanni Alberti and Stefano Bianchini and Laura Caravenna}
}
@article {2012,
	title = {SBV regularity for genuinely nonlinear, strictly hyperbolic systems of conservation laws in one space dimension},
	journal = {Communications in Mathematical Physics 313 (2012) 1-33},
	number = {SISSA;71/2010/M},
	year = {2012},
	publisher = {Springer},
	doi = {10.1007/s00220-012-1480-5},
	url = {http://hdl.handle.net/1963/4091},
	author = {Stefano Bianchini and Laura Caravenna}
}
@article {2011,
	title = {A proof of Sudakov theorem with strictly convex norms},
	journal = {Mathematische Zeitschrift 268 (2011) 371-407},
	number = {SISSA;64/2008/M},
	year = {2011},
	publisher = {Springer},
	abstract = {We establish a solution to the Monge problem in Rn, with an asymmetric, strictly convex norm cost function, when the initial measure is absolutely continuous. We focus on the strategy, based on disintegration of measures, initially proposed by Sudakov. As known, there is a gap to fill. The missing step is completed when the unit ball is strictly convex, but not necessarily differentiable nor uniformly convex. The key disintegration is achieved following a similar proof for a variational problem.},
	doi = {10.1007/s00209-010-0677-6},
	url = {http://hdl.handle.net/1963/2967},
	author = {Laura Caravenna}
}
@article {2010,
	title = {The disintegration of the Lebesgue measure on the faces of a convex function},
	journal = {J. Funct. Anal. 258 (2010) 3604-3661},
	number = {SISSA;24/2009/M},
	year = {2010},
	abstract = {<p>We consider the disintegration of the Lebesgue measure on the graph of a convex function f:\\\\Rn-\&gt; \\\\R w.r.t. the partition into its faces, which are convex sets and therefore have a well defined linear dimension, and we prove that each conditional measure is equivalent to the k-dimensional Hausdorff measure of the k-dimensional face on which it is concentrated. The remarkable fact is that a priori the directions of the faces are just Borel and no Lipschitz regularity is known. Notwithstanding that, we also prove that a Green-Gauss formula for these directions holds on special sets.</p>},
	doi = {10.1016/j.jfa.2010.01.024},
	url = {http://hdl.handle.net/1963/3622},
	author = {Laura Caravenna and Sara Daneri}
}
@article {2010,
	title = {On optimality of c-cyclically monotone transference plans},
	journal = {Comptes Rendus Mathematique 348 (2010) 613-618},
	year = {2010},
	publisher = {Elsevier},
	abstract = {Abstract. This note deals with the equivalence between the optimality of a transport plan for the Monge-Kantorovich problem and the condition of c-cyclical monotonicity, as an outcome of the construction in [7]. We emphasize the measurability assumption on the hidden structure of linear preorder, applied also to extremality and uniqueness problems. Resume. Dans la presente note nous decrivons brievement la construction introduite dans [7] a propos de l\\\'equivalence entre l\\\'optimalite d\\\'un plan de transport pour le probleme de Monge-Kantorovich et la condition de monotonie c-cyclique ainsi que d\\\'autres sujets que cela nous amene a aborder. Nous souhaitons mettre en evidence l\\\'hypothese de mesurabilite sur la structure sous-jacente de pre-ordre lineaire.},
	doi = {10.1016/j.crma.2010.03.022},
	url = {http://hdl.handle.net/1963/4023},
	author = {Stefano Bianchini and Laura Caravenna}
}
@mastersthesis {2009,
	title = {The Disintegration Theorem and Applications to Optimal Mass Transportation},
	year = {2009},
	school = {SISSA},
	url = {http://hdl.handle.net/1963/5900},
	author = {Laura Caravenna}
}
@article {2009,
	title = {An existence result for the Monge problem in R^n with norm cost},
	number = {SISSA;30/2009/M},
	year = {2009},
	url = {http://hdl.handle.net/1963/3647},
	author = {Laura Caravenna}
}
@article {2009,
	title = {On the extremality, uniqueness and optimality of transference plans},
	journal = {Bull. Inst. Math. Acad. Sin. (N.S.) 4 (2009) 353-458},
	number = {SISSA;46/2009/M},
	year = {2009},
	abstract = {We consider the following standard problems appearing in optimal mass transportation theory: when a transference plan is extremal; when a transference plan is the unique transference plan concentrated on a set A,; when a transference plan is optimal.},
	url = {http://hdl.handle.net/1963/3692},
	author = {Stefano Bianchini and Laura Caravenna}
}
@article {2008,
	title = {An entropy based Glimm-type functional},
	journal = {J. Hyperbolic Differ. Equ. 5 (2008) 643-662},
	year = {2008},
	publisher = {World Scientific},
	doi = {10.1142/S0219891608001635},
	url = {http://hdl.handle.net/1963/4051},
	author = {Laura Caravenna}
}
