Li, YanYan

1. Gradient Estimates for the Perfect Conductivity Problem
   2006/12/18 by Ellen Shiting Bao, Yanyan Li, Bao, Ellen Shiting +3 · 4 citations
   Computer Science · Mathematics · Engineering · #Advanced Mathematical Modeling in Engineering #Numerical methods in inverse problems #Composite Material Mechanics
2. Compactness of solutions to the Yamabe problem. III
   2006/12/12 by Yanyan Li, Lei Zhang, Li, YanYan +1 · 4 citations
   Mathematics · #Nonlinear Partial Differential Equations #Geometric Analysis and Curvature Flows #Geometry and complex manifolds
3. The distance function to the boundary, Finsler geometry and the singular set of viscosity solutions of some Hamilton-Jacobi equations
   2003/06/06 by Yanyan Li, YanYan Li, Louis Nirenberg +2 · 2 citations
   Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Fixed Point Theorems Analysis #Geometric Analysis and Curvature Flows #math.AP #msc:49L25 #msc:53C22 #msc:58B20
4. Gradient Estimates for the Perfect and Insulated Conductivity Problems with Multiple Inclusions
   2009/09/22 by Ellen Shiting Bao, Bao, Ellen ShiTing, Yanyan Li +3 · 2 citations
   Computer Science · Mathematics · #35B25 #35B45 #35J25 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Numerical methods in inverse problems
5. Monge-Ampère equation with bounded periodic data
   2019/06/06 by Yanyan Li, Li, YanYan, Siyuan Lu +1 · 3 citations
   Mathematics · #Algebraic Geometry and Number Theory #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds
6. The Nirenberg problem and its generalizations: A unified approach
   2014/11/21 by Jin, Tianling, Li, YanYan, Xiong, Jingang · 2 citations
   #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics
7. Some remarks on singular solutions of nonlinear elliptic equations. III:\n viscosity solutions, including parabolic operators
   2011/01/14 by Luis Caffarelli, Yanyan Li, Caffarelli, Luis +3 · 2 citations
   Computer Science · Mathematics · #35J60 #35J69 #53C21 #58J05 #Advanced Mathematical Modeling in Engineering #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Nonlinear Partial Differential Equations
8. Estimates and Existence Results for a Fully Nonlinear Yamabe Problem on Manifolds with Boundary
   2006/04/11 by Jin, Qinian, Li, Aobing, Li, YanYan · 1 citation
   #35J60 #58J05 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics
9. Some remarks on singular solutions of nonlinear elliptic equations. I
   2009/04/18 by Caffarelli, Luis, Li, YanYan, Nirenberg, Louis · 1 citation
   #35J60 #35J69 #53C21 #58J05 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics
10. Anisotropic Caffarelli-Kohn-Nirenberg type inequalities
    2021/12/01 by Li, YanYan, Yan, Xukai · 2 citations
    #Analysis of PDEs (math.AP) #FOS: Mathematics
11. Asymptotics of the gradient of solutions to the perfect conductivity problem
    2018/11/08 by Haigang Li, Yanyan Li, Li, HaiGang +3 · 1 citation
    Mathematics · Computer Science · Engineering · #Numerical methods in inverse problems #Advanced Mathematical Modeling in Engineering #Composite Material Mechanics
12. Regular solutions of the stationary Navier-Stokes equations on high dimensional Euclidean space
    2021/01/10 by Li, YanYan, Yang, Zhuolun · 1 citation
    #35J60 35Q30 76D03 76D05 #Analysis of PDEs (math.AP) #FOS: Mathematics
13. Optimal gradient estimates of solutions to the insulated conductivity problem in dimension greater than two
    2021/10/21 by Hongjie Dong, Dong, Hongjie, Yanyan Li +3 · 2 citations
    Computer Science · Mathematics · #35J15 #35Q74 #74E30 #74G70 #78A48 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Numerical methods in inverse problems
14. A fully nonlinear version of the Yamabe problem on locally conformally flat manifolds with umbilic boundary
    2009/11/17 by Li, YanYan, Nguyen, Luc · 1 citation
    #35J60 #53A30 #58J05 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics
15. Existence and uniqueness of Green's functions to nonlinear Yamabe problems
    2020/01/03 by Yanyan Li, Li, YanYan, Luc Nguyen +1 · 1 citation
    Mathematics · #Analysis of PDEs (math.AP) #Analytic and geometric function theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations
16. Gradient estimates for solutions of the Lamé system with partially infinite coefficients in dimensions greater than two
    2016/01/28 by Jiguang Bao, Haigang Li, Bao, JiGuang +3 · 1 citation
    Computer Science · Mathematics · #35J47 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Numerical methods in inverse problems
17. On the fully nonlinear Yamabe problem with constant boundary mean curvature. I
    2024/10/13 by Chu, BaoZhi, Li, YanYan, Li, Zongyuan · 1 citation
    #35J60 (Primary) 53C21 #58J05 (Secondary) #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics
18. Liouville Theorem with Boundary Conditions from Chern--Gauss--Bonnet Formula
    2024/10/21 by BaoZhi Chu, Yanyan Li, Chu, BaoZhi +3 · 1 citation
    Physics and Astronomy · #Relativity and Gravitational Theory #Quantum Mechanics and Applications #Quantum chaos and dynamical systems
19. Homogeneous solutions of stationary Navier-Stokes equations with isolated singularities on the unit sphere. III. Two singularities
    2019/01/24 by Li Li, Li, Li, Yanyan Li +3 · 2 citations
    Engineering · Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Stability and Controllability of Differential Equations