复合材料中的Lame方程组解的梯度估计，系统建立了复合材料中应力集中现象的数学机制。
1. Li, Haigang Lower bounds of gradient's blow-up for the Lamé system with partially infinite coefficients. J. Math. Pures Appl. (9) 149 (2021), 98–134.
2. Chen, Yu; Li, Haigang Estimates and asymptotics for the stress concentration between closely spaced stiff C^{1,γ} inclusions in linear elasticity. J. Funct. Anal. 281 (2021), no. 2, Paper No. 109038, 63 pp.
3. Optimal estimates for the conductivity problem by Green's function method. (w/ Hongjie Dong), Arch. Ration. Mech. Anal. 231 (2019), no. 3, 1427–1453.
4. Gradient estimates for solutions of the Lamé system with partially infinite coefficients in dimensions greater than two (w/ Jiguang Bao and Yanyan Li), Adv. Math. 305 (2017), 298–338.
5. Gradient estimates for solutions of the Lam\'{e} system with partially infinite coefficients (w/ Jiguang Bao and Yanyan Li), Arch. Ration. Mech. Anal. 215 (2015), no. 1, 307-351.
完全非线性方程与几何分析，主要关注外区域上解的渐近性与存在性。
6. Jiang, Tangyu; Li, Haigang; Li, Xiaoliang On the exterior Dirichlet problem for a class of fully nonlinear elliptic equations. Calc. Var. Partial Differential Equations 60 (2021), no. 1, Paper No. 17, 20 pp.
7. Monge–Ampère equation on exterior domains (w/ Jiguang Bao and Lei Zhang), Calc. Var. Partial Differential Equations 52 (2015), no. 1-2, 39–63.
8. On the exterior Dirichlet problem for Hessian equations (w/ Jiguang Bao and Yanyan Li), Trans. Amer. Math. Soc. 366 (2014), no. 12, 6183–6200.
