项目: 1.国家自然科学基金青年基金:高阶散度型椭圆和抛物方程解的正则性研究 (11901429), 2020.1-2022.12, 22万,项目负责人 论文: 代表性论文如下: 1.Hong Tian* and Shenzhou Zheng*, Global weighted Lorentz estimates to nonlinear parabolic equations over nonsmooth domains, Journal of Mathematical Analysis and Applications, 2017, 456: 1238-1260. 2.Hong Tianand Shenzhou Zheng*, Uniformly nondegenerate elliptic equations with partially BMO coefficients in nonsmooth domains, Nonlinear Analysis, 2017, 156: 90--110. 3.Hong Tianand Shenzhou Zheng*, Another approach of Morrey estimate for linear elliptic equations with partially BMO coefficients in a half space, Filomat, 2018, 32(4): 1429--1437. 4.Hong Tianand Shenzhou Zheng*, Lorentz estimate with a variable power for parabolic obstacle problems with non-standard growths, Journal of Differential Equations, 2019, 266: 352-405. 5.Hong Tian*, Global Lorentz estimates with variable power to linear parabolic integro-differential equations, Nonlinear Analysis, 2019, 178: 282-309. 6.Hong Tianand Shenzhou Zheng*,Morrey regularity for nonlinear elliptic equations with partial BMO nonlinearities under controlled growth, Nonlinear Analysis, 2019, 180: 1--19. 7.Hong Tianand Shenzhou Zheng*, Orlicz estimates for general parabolic obstacle problems with p(t,x)-growth in Reifenberg domains,Electronic Journal of Differential Equations,2020, 2020 (13):1-25. 8.Hong Tianand Shenzhou Zheng*, Thesolvability foraclass offully nonlinear parabolic equations, Journal of Elliptic and Parabolic Equations, 2020, https://doi.org/10.1007/s41808-020-00094-6. |