主要代表作：
13. Jiang, Feida, Weak solutions of generated Jacobian equations. Math. Eng. 5 (2023), no. 3, Paper No. 064, 20 pp.
12. Jiang, Feida; Trudinger, Neil S., The Neumann problem for Monge-Ampère type equations revisited. New Zealand Journal of Mathematics 52 (2021), 671–689.
11. Jiang, Feida; Trudinger, Neil S., On the Dirichlet problem for general augmented Hessian equations. J. Differential Equations 269 (2020), no. 6, 5204–5227.
10. Jiang, Feida; Trudinger, Neil S., Oblique boundary value problems for augmented Hessian equations III. Comm. Partial Differential Equations 44 (2019), no. 8, 708–748.
9. Shi, JuHua; Jiang, Feida, Pogorelov estimates for the Monge-Ampère equations. Proc. Amer. Math. Soc. 147 (2019), no. 6, 2561–2571.
8. Jiang, Feida; Trudinger, Neil S., Oblique boundary value problems for augmented Hessian equations I. Bull. Math. Sci. 8 (2018), no. 2, 353–411.
7. Jiang, Feida; Trudinger, Neil S., On the second boundary value problem for Monge-Ampère type equations and geometric optics. Arch. Ration. Mech. Anal. 229 (2018), no. 2, 547–567.
6. Jiang, Feida; Trudinger, Neil S., Oblique boundary value problems for augmented Hessian equations II. Nonlinear Anal. 154 (2017), 148–173.
5. Jiang, Feida; Trudinger, Neil S.; Xiang, Ni, On the Neumann problem for Monge-Ampère type equations. Canad. J. Math. 68 (2016), no. 6, 1334–1361.
4. Huang, Yong; Jiang, Feida; Liu, Jiakun, Boundary C2,α estimates for Monge-Ampère type equations. Adv. Math. 281 (2015), 706–733.
3. Jiang, Feida; Trudinger, Neil S.; Yang, Xiao-Ping, On the Dirichlet problem for a class of augmented Hessian equations. J. Differential Equations 258 (2015), no. 5, 1548–1576.
2. Jiang, Feida; Trudinger, Neil S., On Pogorelov estimates in optimal transportation and geometric optics. Bull. Math. Sci. 4 (2014), no. 3, 407–431.
1. Jiang, Feida; Trudinger, Neil S.; Yang, Xiao-Ping, On the Dirichlet problem for Monge-Ampère type equations. Calc. Var. Partial Differential Equations 49 (2014), no. 3-4, 1223–1236.
参编教材：
《数学物理方程：模型、方法与应用（第二版）》——微课思政版, 刘文军、王曰朋主编, 蒋飞达、黄瑜、吴斌、陈克旺编, 科学出版社，2021.
《数学物理方程：模型、方法与应用》, 李刚、刘文军主编, 蒋飞达、黄瑜、王曰朋、吴斌编, 科学出版社，2017.
