1. (with Jingang Xiong and Ziwei Zhou), Existence of entire solutions of Monge-Ampère equations with prescribed asymptotic behavior. Calc. Var. Partial Differential Equations 58 (2019), no. 6, Paper No. 193, 12 pp.
2. (with Wei Zhang) A Calabi theorem for solutions to the parabolic Monge-Ampère equation with periodic data, Annales de l'Institut Henri Poincare / Analyse non lineaire, 35 (2018), 1143-1173.
3. (with Wei Zhang and Bo Wang) An extension of Jörgens–Calabi–Pogorelov theorem to parabolic Monge–Ampère equation, Calc. Var. Partial Differential Equations, 57 (2018), 57-90.
4. (with Yifei Wu) Global well-posedness for the periodic generalized Korteweg–de Vries equations, Indiana Univ. Math. J. 66 (2017), 1797–1825.
5. (with Hongjie Ju and Haigang Li) Optimal boundary gradient estimates for Lamé systems with partially infinite coefficients, Adv. Math., 314 (2017), 583-629.
6. (with Haigang Li and Yanyan Li) Gradient estimates for solutions of the Lame system with partially infinite coefficients in dimensions greater than two, Adv. Math. 305 (2017), 298-338.
7. (with Haigang Li and Yanyan Li) Gradient estimates for solutions of the Lame system with partially infinite coefficients, Arch. Rational Mech. Anal., 215 (2015), 307-351.
8. (with Haigang Li and Lei Zhang) Monge-Ampere equation on exterior domains, Calculus of Variations and PDE's, 52 (2015), 39-63.
9. (with Bo Wang) Asymptotic behavior on a kind of parabolic Monge-Ampere equation, Journal of Differential Equations, 259 (2015), 344-370.
10. (with Haigang Li and Yanyan Li) On the exterior Dirichlet problem for Hessian equations, Transactions of the American Mathematical Society, 366 (2014), 6183-6200.
11. (with Jingang Xiong) Sharp regularity for elliptic systems associated with transmission problems, Potential Anal., 39 (2013), 169-194.
12. (with Wei Zhang) Regularity of very weak solutions for elliptic equation of divergence form, J. Funct. Anal., 262 (2012), 1867-1878.
13. (with Jingang Xiong) On Jörgens, Calabi, and Pogorelov type theorem and isolated singularities of parabolic Monge-Ampère equations, J. Differential Equations, 250 (2011), 367-385.
14. (with Jingyi Chen) Optimal regularity of strong solutions for special Lagrangian equations in dimension 3, Indiana Univ. Math. Jour., 52 (2003), 1231-1249.
15. (with Jingyi Chen, Bo Guan and Min Ji) Liouville property and regularity of a Hessian quotient equation, Amer. J. Math., 125 (2003), 301-316.
保继光、李娅，微分方程的建模与计算，科学出版社，2022
保继光, 美术中的数学, 普通高中课程标准选修课程用书, 人民教育出版社, 2021
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