一、准晶体KAM理论及Aubry-Mather理论方向:
1. Xifeng Su and Rafael de la Llave. On a remarkable example of F. Almgren and H. Federer in the global theory of minimizing geodesics. Discrete and Continuous Dynamical Systems - Series A, 2019, Vol 39, no. 12, 7057-7080.
2. Xifeng Su and Rafael de la Llave. A continuous family of equilibria in ferromagnetic media are ground states. Comm. Math. Phys., 2017, Vol 354, no. 2, 459-475.
3. Rafael de la Llave and Xifeng Su and Lei Zhang. Resonant Equilibrium Configurations in Quasi-Periodic Media: KAM Theory, SIAM J. Math. Anal., 2017, Vol 49, no. 1, 597–625.
4. Xifeng Su and Rafael de la Llave. KAM theory for quasi-periodic equilibria in one-dimensional quasi-periodic media, SIAM Journal on Mathematical Analysis, 2012, Vol. 44, Issue 6, 3901-3927.
二、弱KAM理论、遍历优化方向
1. Xifeng Su and Philippe Thieullen and Wenzhe Yu. Lipschitz sub-actions for locally maximally hyperbolic sets of a C^1 map. Discrete and Continuous Dynamical Systems-Series A, 2024, Vol 44, no. 3, 657-677.
2. Marie-Claude and Xifeng Su. On the $C^1$ and $C^2$-convergence to weak K.A.M. solutions. Comm. Math. Phys. 392 (2022), no. 3, 825–861.
3. Xifeng Su and Philippe Thieullen. Gottschalk-Hedlund theorem revisited. Mathematical Research Letter, 2021, Vol 28, no.1, 285-300.
4. Xifeng Su and Philippe Thieullen. Convergence of discrete Aubry-Mather model in the continuous limit. Nonlinearity, 2018, Vol 31, no. 5.
5. Xifeng Su and Lin Wang and Jun Yan. Weak KAM theory for HAMILTON-JACOBI equations depending on unknown functions, Discrete and Continuous Dynamical Systems - Series A, 2016, Vol 36, no. 11, 6487–6522.
三、局部-非局部椭圆算子的变分法、正则性方向:
1. Xifeng Su, Enrico Valdinoci, Yuanhong Wei, Jiwen Zhang. Regularity results for solutions of mixed local and nonlocal elliptic equations. Math. Z. 302, 1855–1878 (2022).
2. Yuanhong Wei and Xifeng Su. Multiplicity of solutions for non-local elliptic equations driven by fractional Laplacian, Calculus of Variations and Partial Differential Equations, 2015, Vol. 52, Issue 1-2, pp 95-124.
3. Yuanhong Wei and Xifeng Su. On a class of non-local elliptic equations with asymptotically linear term. Discrete and Continuous Dynamical Systems - Series A, 2018, Vol 38, no. 12, 6287-6304.