带非线性梯度项的退化抛物方程解的正则性与渐近性，基金委/Regularity and asymptotic behavior of solutions for the degenerate parabolic equations with nonlinear gradient terms, NSFC, 2023-2026

非线性抛物方程解的适定性及其渐近行为研究，省基金/Well-posedness and asymptotic behavior of solutions of nonlinear parabolic equations, NSBRP of Shaanxi, 2019-2020

三类非线性椭圆和抛物方程奇异解的渐近性态与稳定性分析，基金委/Stability and asymptotic behavior of singular solutions for three classes of nonlinear elliptic and parabolic equations, NSFC, 2014-2017

粘性Hamilton-Jacobi方程解的渐近性质研究，教育部/Asymptotic properties of solutions for viscous Hamilton-Jacobi equations, SEMC, 2012-2015

偏微分方程理论在图像处理中的应用研究，校基金/Applications of the theory of partial differential equations in image processing, XJTU, 2011-2013

一类非线性椭圆型方程（组）解的性质研究，基金委/Properties of solutions for a class of nonlinear elliptic equations (or systems), NSFC, 2008-2010

一类拟线性椭圆型方程的解及其渐近行为的研究，基金委/Asymptotic behaviours of solutions for a class of quasilinear elliptic equations, NSFC, 2005-2005