D. Andersson, The relaxed general maximum principle for singular optimal control of diffusions, Systems & Control Letters, vol.58, issue.1, pp.76-82, 2009.
DOI : 10.1016/j.sysconle.2008.08.003

S. Bahlali, F. Chighoub, B. Djehiche, and B. Mezerdi, Optimality necessary conditions in singular stochastic control problems with nonsmooth data, Journal of Mathematical Analysis and Applications, vol.355, issue.2, pp.479-494, 2009.
DOI : 10.1016/j.jmaa.2009.01.066

S. Bahlali, B. Djehiche, and B. Mezerdi, The Relaxed Stochastic Maximum Principle in Singular Optimal Control of Diffusions, SIAM Journal on Control and Optimization, vol.46, issue.2, pp.427-444, 2007.
DOI : 10.1137/050644744

S. Bahlali and B. Mezerdi, A General Stochastic Maximum Principle for Singular Control Problems, Electronic Journal of Probability, vol.10, issue.0, pp.988-1004, 2005.
DOI : 10.1214/EJP.v10-271

A. Bensoussan, Stochastic maximum principle for distributed parameter systems, Journal of the Franklin Institute, vol.315, issue.5-6, pp.5-6, 1983.
DOI : 10.1016/0016-0032(83)90059-5

C. Donati-martin and E. Pardoux, White noise driven SPDEs with reflection, Probability Theory and Related Fields, vol.74, issue.1, pp.1-24, 1993.
DOI : 10.1007/BF01197335

E. Pardoux, Stochastic partial differential equations and filtering of diffusion processes, Stochastics, vol.22, issue.1-4, pp.127-167, 1979.
DOI : 10.1007/BF00536382

G. Guatteri and F. Masiero, On the Existence of Optimal Controls for SPDEs with Boundary Noise and Boundary Control, SIAM Journal on Control and Optimization, vol.51, issue.3, 2013.
DOI : 10.1137/110855855

U. G. Haussmann and E. Pardoux, Stochastic variational inequalities of parabolic type, Applied Mathematics & Optimization, vol.9, issue.1, pp.163-192, 1989.
DOI : 10.1007/BF01447653

Y. Hu, J. Ma, and J. Yong, On semi-linear degenerate backward stochastic partial differential equations, Probability Theory and Related Fields, vol.123, issue.3, pp.381-411, 2002.
DOI : 10.1007/s004400100193

Y. Hu and S. Peng, Maximum principle for semilinear stochastic evolution control systems, Stochastics An International Journal of Probability and Stochastic Processes, vol.33, issue.3, pp.3-4, 1990.
DOI : 10.1080/17442509008833671

Y. Hu and S. Peng, Adapted solution of a backward semilinear stochastic evolution equation, Stochastic Analysis and Applications, vol.10, issue.4, pp.445-459, 1991.
DOI : 10.1137/0310041

D. Nualart and E. Pardoux, White noise driven by quasilinear spdes with reflection. Probab. Theory Rel, pp.77-89, 1992.
DOI : 10.1007/bf01195389
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.405.727

B. Øksendal, F. Proske, and T. Zhang, Backward stochastic partial differential equations with jumps and application to optimal control of random jump fields, Stochastics An International Journal of Probability and Stochastic Processes, vol.77, issue.5, pp.381-399, 2005.
DOI : 10.1016/S0304-4149(96)00120-2

B. Øksendal and A. Sulem, Singular Stochastic Control and Optimal Stopping with Partial Information of It??--L??vy Processes, SIAM Journal on Control and Optimization, vol.50, issue.4, pp.2254-2287, 2012.
DOI : 10.1137/100793931

C. I. Prévôt and M. Röckner, A concise course on stochastic partial differential equations, Lecture Notes in Mathematics, 1905.

M. Quenez and A. Sulem, Reflected BSDEs and robust optimal stopping for dynamic risk measures with jumps, Stochastic Processes and their Applications, vol.124, issue.9, 2013.
DOI : 10.1016/j.spa.2014.04.007
URL : https://hal.archives-ouvertes.fr/hal-00780175

T. Zhang, White Noise Driven SPDEs with Reflection: Strong Feller Properties and Harnack Inequalities, Potential Analysis, vol.28, issue.4, pp.137-151, 2010.
DOI : 10.1007/s11118-009-9162-4