P. Barrieu and N. Karoui, Monotone stability of quadratic semimartingales with applications to unbounded general quadratic BSDEs, The Annals of Probability, vol.41, issue.3B, pp.1831-1863, 2013.
DOI : 10.1214/12-AOP743
URL : https://hal.archives-ouvertes.fr/hal-00843113

J. M. Bismut, Conjugate convex functions in optimal stochastic control, Journal of Mathematical Analysis and Applications, vol.44, issue.2, pp.384-404, 1973.
DOI : 10.1016/0022-247X(73)90066-8

P. Briand, B. Delyon, Y. Hu, E. Pardoux, and L. Stoica, L p solutions of backward stochastic differential equations. Stochastic Process, Appl, vol.108, issue.1, pp.109-129, 2003.

P. Briand and R. Elie, A simple constructive approach to quadratic BSDEs with or without delay, Stochastic Processes and their Applications, vol.123, issue.8, pp.2921-2939, 2013.
DOI : 10.1016/j.spa.2013.02.013
URL : https://hal.archives-ouvertes.fr/hal-00717226

P. Briand and Y. Hu, BSDE with quadratic growth and unbounded terminal value. Probab. Theory Related Fields, pp.604-618, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00004619

P. Briand and Y. Hu, Quadratic BSDEs with convex generators and unbounded terminal conditions. Probab. Theory Related Fields, pp.3-4543, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00136605

P. Cheridito and K. Nam, BSDEs with terminal conditions that have bounded Malliavin derivative, Journal of Functional Analysis, vol.266, issue.3, 2012.
DOI : 10.1016/j.jfa.2013.12.004
URL : http://arxiv.org/abs/1211.1089

P. Cheridito and K. Nam, Multidimensional quadratic and subquadratic BS- DEs with special structure, 2013.
DOI : 10.1080/17442508.2015.1013959
URL : http://arxiv.org/abs/1309.6716

J. F. Chassagneux and A. Richou, Numerical simulation of quadratic BSDEs, The Annals of Applied Probability, vol.26, issue.1, 2013.
DOI : 10.1214/14-AAP1090
URL : https://hal.archives-ouvertes.fr/hal-00990555

F. Delbaen, Y. Hu, and A. Richou, On the uniqueness of solutions to quadratic BSDEs with convex generators and unbounded terminal conditions, Annales de l'Institut Henri Poincar??, Probabilit??s et Statistiques, vol.47, issue.2, pp.559-574, 2011.
DOI : 10.1214/10-AIHP372
URL : https://hal.archives-ouvertes.fr/hal-00391112

N. Karoui, S. Peng, and M. C. Quenez, Backward Stochastic Differential Equations in Finance, Mathematical Finance, vol.7, issue.1, pp.1-71, 1997.
DOI : 10.1111/1467-9965.00022

C. Frei and G. Reis, A financial market with interacting investors: does an equilibrium exist?, Mathematics and Financial Economics, vol.118, issue.3, pp.161-182, 2011.
DOI : 10.1007/s11579-011-0039-0

Y. Hu, P. Imkeller, and M. Muller, Utility maximization in incomplete markets, The Annals of Applied Probability, vol.15, issue.3, pp.1691-1712, 2005.
DOI : 10.1214/105051605000000188

Y. Hu and X. Y. Zhou, Indefinite Stochastic Riccati Equations, SIAM Journal on Control and Optimization, vol.42, issue.1, pp.123-137, 2003.
DOI : 10.1137/S0363012901391330

M. Kobylanski, differential equations with quadratic growth, The Annals of Probability, vol.28, issue.2, pp.558-602, 2000.
DOI : 10.1214/aop/1019160253

M. Kohlmann and S. Tang, Multidimensional Backward Stochastic Riccati Equations and Applications, SIAM Journal on Control and Optimization, vol.41, issue.6, pp.1696-1721, 2003.
DOI : 10.1137/S0363012900378760
URL : http://nbn-resolving.de/urn:nbn:de:bsz:352-opus-5791

F. Masiero and A. Richou, A note on the existence of solutions to Markovian superquadratic BSDEs with an unbounded terminal condition, Electron. J. Probab, vol.18, issue.23, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00713123

M. Mania and M. Schweizer, Dynamic exponential utility indifference valuation, The Annals of Applied Probability, vol.15, issue.3, pp.2113-2143, 2005.
DOI : 10.1214/105051605000000395
URL : http://arxiv.org/abs/math/0508489

M. A. Morlais, Quadratic BSDEs driven by a continuous martingale and applications to the utility maximization problem, Finance and Stochastics, vol.5, issue.1, pp.121-150, 2009.
DOI : 10.1007/s00780-008-0079-3

M. A. Morlais, Utility maximization in a jump market model, Stochastics An International Journal of Probability and Stochastic Processes, vol.364, issue.1, pp.1-27, 2009.
DOI : 10.1214/aop/1019160253

M. A. Morlais, A new existence result for quadratic BSDEs with jumps with application to the utility maximization problem, Stochastic Processes and their Applications, vol.120, issue.10, pp.1966-1995, 2010.
DOI : 10.1016/j.spa.2010.05.011

E. Pardoux and S. Peng, Adapted solution of a backward stochastic differential equation, Systems & Control Letters, vol.14, issue.1, pp.55-61, 1990.
DOI : 10.1016/0167-6911(90)90082-6

E. Pardoux and S. Peng, Backward stochastic differential equations and quasilinear parabolic partial differential equations, Lecture Notes in Control and Inform. Sci, vol.176, pp.200-217, 1991.
DOI : 10.1007/BFb0007334

Z. Qian and X. Y. Zhou, Existence of Solutions to a Class of Indefinite Stochastic Riccati Equations, SIAM Journal on Control and Optimization, vol.51, issue.1, pp.221-229, 2013.
DOI : 10.1137/120873777

A. Richou, Numerical simulation of BSDEs with drivers of quadratic growth, The Annals of Applied Probability, vol.21, issue.5, pp.1933-1964, 2011.
DOI : 10.1214/10-AAP744
URL : https://hal.archives-ouvertes.fr/hal-00443704

A. Richou, Markovian quadratic and superquadratic BSDEs with an unbounded terminal condition. Stochastic Process, Appl, vol.122, issue.9, pp.3173-3208, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00643198

R. Rouge and N. Karoui, Pricing Via Utility Maximization and Entropy, Mathematical Finance, vol.10, issue.2, pp.259-276, 2000.
DOI : 10.1111/1467-9965.00093

S. Tang, General Linear Quadratic Optimal Stochastic Control Problems with Random Coefficients: Linear Stochastic Hamilton Systems and Backward Stochastic Riccati Equations, SIAM Journal on Control and Optimization, vol.42, issue.1, pp.53-75, 2003.
DOI : 10.1137/S0363012901387550

R. Tevzadze, Solvability of backward stochastic differential equations with quadratic growth. Stochastic Process, Appl, vol.118, issue.3, pp.503-515, 2008.