My research interest lies at the interface of Nonlinear Functional Analysis and Partial Differential Equations, it includes the existence, aprior estimates etc. qualitative study of solutions of nonlinear elliptic equations.

Nonlinear Functional Analysis
Partial Differential Equations

1,Sponsor:                     National Natural Science Foundation China(No.11571339)
   Title:                           Singular differential equations and Minkowski problem
   Start Date/End Date:  2016.01-2019.12.
2,Sponsor:                     National Natural Science Foundation China (No.11171341)
    Title:                          Nonlinear Elliptic Equations with negative exponents
   Start Date/End Date:  2012.01-2015.12
3, Sponsor:                     National Natural Science Foundation China (No.10601063)
    Title:                           Explicit estimates for extremal values of nonlinear singular elliptic  equations
    Start Date/End Date:  2007.01-2009.12
4, Sponsor:                     President Foundation of GUCAS
    Start Date/End Date:  2004.01-2006.12 
5, Sponsor:                     President Foundation of GUCAS
    Start Date/End Date:  2010.01-2012.12 
6,  Sponsor:                    National Natural Science Foundation China (No.10971238)
    Title:                           Some new problems in critical point theory and its applications
    Start Date/End Date:  2010.01-2012.12 
7, Sponsor:                     National Natural Science Foundation China (No.11101404 )
    Title:                           Nonlinear elliptic system
    Start Date/End Date:  2012.01-2014.12 



 

Liu Xing , 2009,9---2012,7
Cao Xiaoqiang , 2011,9---2014,7
Tan Yuxin, 2014,9- 

Sun Yijing, Long Yiming, The planar Orlicz Minkowski problem in the $L^{1}$-sense,  Advances in Mathematics 281 (2015) 1364-1383.

Sun Yijing, Tan Yuxin, Shuangzhen, On a planar conformal curvature problem, Mathematische Zeitschrift (2021)accepted for publication  doi.org/10.1007/s00209-021-02728-4.

Sun Yijing, Zhang Duanzhi, The planar Orlicz Minkowski problem for p=0 without even assumptions, The Journal of Geometric Analysis 29 (2019) 3384-3404.

Sun Yijing, Existence and uniqueness of solutions to Orlicz Minkowksi problems involving 0<p<1, Advances in Applied Mathematics 101 (2018) 184-214.

Sun Yijing, Cao Xiaoqiang, Remarks on a planar conformal curvature problem, Monatshefte fur Mathematik 176 (2015) 623-636.
Sun Yijing, Zhang Duanzhi, The role of the power 3 for elliptic equations with negative exponents, Calculus of Variations and Partial Differential Equations 49 (2014) 909-922. 
Sun Yijing, Compatibility Phenomena in Singular Problems,  Proceedings of The Royal Society of Edinburgh Section A- Mathematics 143A (2013) 1321-1330.
Sun Yijing, Wu Shaoping, An exact estimate result for a class of singular equations with critical exponents, J. Funct. Anal.  260 (2011) 1257-1284.