Tian, Hong; Zheng, Shenzhou Gradient estimates for a class of higher-order elliptic equations of \(p\)-growth over a nonsmooth domain. (English) Zbl 07819558 Adv. Nonlinear Anal. 13, Article ID 20230132, 39 p. (2024). MSC: 35J40 35B65 PDFBibTeX XMLCite \textit{H. Tian} and \textit{S. Zheng}, Adv. Nonlinear Anal. 13, Article ID 20230132, 39 p. (2024; Zbl 07819558) Full Text: DOI OA License
Tian, Hong; Zheng, Shenzhou Gradient estimates in anisotropic Lorentz spaces to general elliptic equations of \(p\)-growth. (English) Zbl 1493.35016 Rocky Mt. J. Math. 52, No. 2, 727-748 (2022). Reviewer: Maria Alessandra Ragusa (Catania) MSC: 35B45 35D30 35J25 35J92 46E30 PDFBibTeX XMLCite \textit{H. Tian} and \textit{S. Zheng}, Rocky Mt. J. Math. 52, No. 2, 727--748 (2022; Zbl 1493.35016) Full Text: DOI Link
Zhang, Junjie; Zheng, Shenzhou Weighted Lorentz estimates for fully nonlinear elliptic equations with oblique boundary data. (English) Zbl 1491.35194 J. Elliptic Parabol. Equ. 8, No. 1, 255-281 (2022). MSC: 35J60 35J25 35D40 35B65 PDFBibTeX XMLCite \textit{J. Zhang} and \textit{S. Zheng}, J. Elliptic Parabol. Equ. 8, No. 1, 255--281 (2022; Zbl 1491.35194) Full Text: DOI
Zhang, Junjie; Zheng, Shenzhou; Zuo, Chunyan \( W^{2, p} \)-regularity for asymptotically regular fully nonlinear elliptic and parabolic equations with oblique boundary values. (English) Zbl 1486.35103 Discrete Contin. Dyn. Syst., Ser. S 14, No. 9, 3305-3318 (2021). Reviewer: Dian K. Palagachev (Bari) MSC: 35B65 35D40 35J25 35J60 35K20 35K55 PDFBibTeX XMLCite \textit{J. Zhang} et al., Discrete Contin. Dyn. Syst., Ser. S 14, No. 9, 3305--3318 (2021; Zbl 1486.35103) Full Text: DOI
Tian, Hong; Zheng, Shenzhou The \(W^{1,2}_{( p,q )}\)-solvability for a class of fully nonlinear parabolic equations. (English) Zbl 1475.35091 J. Elliptic Parabol. Equ. 7, No. 1, 25-45 (2021). Reviewer: Lubomira Softova (Salerno) MSC: 35B45 35R05 46E30 35K20 PDFBibTeX XMLCite \textit{H. Tian} and \textit{S. Zheng}, J. Elliptic Parabol. Equ. 7, No. 1, 25--45 (2021; Zbl 1475.35091) Full Text: DOI
Liang, Shuang; Zheng, Shenzhou Lorentz estimates to nonlinear elliptic obstacle problems of \(p(x)\)-growth in Reifenberg domains. (English) Zbl 1470.35373 J. Math. Anal. Appl. 501, No. 1, Article ID 123924, 32 p. (2021). MSC: 35Q99 35B65 35D30 35J87 49J20 PDFBibTeX XMLCite \textit{S. Liang} and \textit{S. Zheng}, J. Math. Anal. Appl. 501, No. 1, Article ID 123924, 32 p. (2021; Zbl 1470.35373) Full Text: DOI
Zhang, Junjie; Zheng, Shenzhou; Feng, Zhaosheng Weighted \(L^{p(\cdot)}\)-regularity for fully nonlinear parabolic equations. (English) Zbl 1455.35036 Calc. Var. Partial Differ. Equ. 59, No. 6, Paper No. 190, 29 p. (2020). MSC: 35B65 35D35 35K55 35K87 35K20 PDFBibTeX XMLCite \textit{J. Zhang} et al., Calc. Var. Partial Differ. Equ. 59, No. 6, Paper No. 190, 29 p. (2020; Zbl 1455.35036) Full Text: DOI
Liang, Shuang; Zheng, Shenzhou Variable Lorentz estimate for conormal derivative problems of stationary Stokes system with partially BMO coefficients. (English) Zbl 1439.35506 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 194, Article ID 111355, 24 p. (2020). MSC: 35R05 35Q35 76D07 76N10 PDFBibTeX XMLCite \textit{S. Liang} and \textit{S. Zheng}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 194, Article ID 111355, 24 p. (2020; Zbl 1439.35506) Full Text: DOI
Zhang, Junjie; Zheng, Shenzhou; Yu, Haiyan \(L^{p(\cdot)}\)-regularity of Hessian for nondivergence parabolic and elliptic equations with measurable coefficients. (English) Zbl 1445.35103 Commun. Pure Appl. Anal. 19, No. 5, 2777-2796 (2020). Reviewer: Maria Alessandra Ragusa (Catania) MSC: 35B65 35K10 35J15 35R05 PDFBibTeX XMLCite \textit{J. Zhang} et al., Commun. Pure Appl. Anal. 19, No. 5, 2777--2796 (2020; Zbl 1445.35103) Full Text: DOI
Liang, Shuang; Zheng, Shenzhou Variable Lorentz estimate for stationary Stokes system with partially BMO coefficients. (English) Zbl 1486.35086 Commun. Pure Appl. Anal. 18, No. 6, 2879-2903 (2019). Reviewer: Dian K. Palagachev (Bari) MSC: 35B45 35R05 76D07 76N10 PDFBibTeX XMLCite \textit{S. Liang} and \textit{S. Zheng}, Commun. Pure Appl. Anal. 18, No. 6, 2879--2903 (2019; Zbl 1486.35086) Full Text: DOI
Tian, Hong; Zheng, Shenzhou Morrey regularity for nonlinear elliptic equations with partial BMO nonlinearities under controlled growth. (English) Zbl 1416.35111 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 180, 1-19 (2019). MSC: 35J60 35J25 PDFBibTeX XMLCite \textit{H. Tian} and \textit{S. Zheng}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 180, 1--19 (2019; Zbl 1416.35111) Full Text: DOI
Liang, Shuang; Zheng, Shenzhou On \(W^{1,\gamma(\cdot)}\)-regularity for nonlinear non-uniformly elliptic equations. (English) Zbl 1415.35075 Manuscr. Math. 159, No. 1-2, 247-268 (2019). Reviewer: Dian K. Palagachev (Bari) MSC: 35B65 35D30 35J62 35J25 PDFBibTeX XMLCite \textit{S. Liang} and \textit{S. Zheng}, Manuscr. Math. 159, No. 1--2, 247--268 (2019; Zbl 1415.35075) Full Text: DOI
Tian, Hong; Zheng, Shenzhou; Kang, Xiuying Weighted Lorentz estimates for nonlinear elliptic obstacle problems with partially regular nonlinearities. (English) Zbl 1499.35152 Bound. Value Probl. 2018, Paper No. 115, 29 p. (2018). MSC: 35B65 35D30 35J87 PDFBibTeX XMLCite \textit{H. Tian} et al., Bound. Value Probl. 2018, Paper No. 115, 29 p. (2018; Zbl 1499.35152) Full Text: DOI
Tian, Hong; Zheng, Shenzhou Another approach of Morrey estimate for linear elliptic equations with partially BMO coefficients in a half space. (English) Zbl 1499.35212 Filomat 32, No. 4, 1429-1437 (2018). MSC: 35J15 35B65 35D30 PDFBibTeX XMLCite \textit{H. Tian} and \textit{S. Zheng}, Filomat 32, No. 4, 1429--1437 (2018; Zbl 1499.35212) Full Text: DOI
Zhang, Junjie; Zheng, Shenzhou Optimal Morrey estimate for parabolic equations in divergence form via Green’s functions. (English) Zbl 1415.35066 Rocky Mt. J. Math. 48, No. 7, 2431-2457 (2018). Reviewer: Dian K. Palagachev (Bari) MSC: 35B45 35K10 35B65 PDFBibTeX XMLCite \textit{J. Zhang} and \textit{S. Zheng}, Rocky Mt. J. Math. 48, No. 7, 2431--2457 (2018; Zbl 1415.35066) Full Text: DOI Euclid
Zhang, Junjie; Zheng, Shenzhou Weighted Lorentz and Lorentz-Morrey estimates to viscosity solutions of fully nonlinear elliptic equations. (English) Zbl 1401.35092 Complex Var. Elliptic Equ. 63, No. 9, 1271-1289 (2018). Reviewer: Maria Alessandra Ragusa (Catania) MSC: 35J60 35J25 35D40 PDFBibTeX XMLCite \textit{J. Zhang} and \textit{S. Zheng}, Complex Var. Elliptic Equ. 63, No. 9, 1271--1289 (2018; Zbl 1401.35092) Full Text: DOI
Liang, Shuang; Zheng, Shenzhou Variable Lorentz estimate for nonlinear elliptic equations with partially regular nonlinearities. (English) Zbl 1390.35033 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 172, 1-24 (2018). MSC: 35B45 35D30 35B65 35J62 35J25 PDFBibTeX XMLCite \textit{S. Liang} and \textit{S. Zheng}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 172, 1--24 (2018; Zbl 1390.35033) Full Text: DOI Link
Li, Huizhen; Zhang, Junjie; Zheng, Shenzhou Orlicz estimates for nondivergence linear elliptic equations with partially BMO coefficients. (English) Zbl 1392.35106 Complex Var. Elliptic Equ. 63, No. 6, 871-885 (2018). MSC: 35J15 35B65 PDFBibTeX XMLCite \textit{H. Li} et al., Complex Var. Elliptic Equ. 63, No. 6, 871--885 (2018; Zbl 1392.35106) Full Text: DOI
Tian, Hong; Zheng, Shenzhou Global weighted Lorentz estimates to nonlinear parabolic equations over nonsmooth domains. (English) Zbl 1442.35203 J. Math. Anal. Appl. 456, No. 2, 1238-1260 (2017). Reviewer: Dian K. Palagachev (Bari) MSC: 35K55 35B45 PDFBibTeX XMLCite \textit{H. Tian} and \textit{S. Zheng}, J. Math. Anal. Appl. 456, No. 2, 1238--1260 (2017; Zbl 1442.35203) Full Text: DOI
Tian, Hong; Zheng, Shenzhou Lorentz estimates for the gradient of weak solutions to elliptic obstacle problems with partially BMO coefficients. (English) Zbl 1375.35216 Bound. Value Probl. 2017, Paper No. 128, 27 p. (2017). MSC: 35J86 35B65 35R05 PDFBibTeX XMLCite \textit{H. Tian} and \textit{S. Zheng}, Bound. Value Probl. 2017, Paper No. 128, 27 p. (2017; Zbl 1375.35216) Full Text: DOI
Tian, Hong; Zheng, Shenzhou Uniformly nondegenerate elliptic equations with partially BMO coefficients in nonsmooth domains. (English) Zbl 1368.35097 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 156, 90-110 (2017). MSC: 35J25 35D30 PDFBibTeX XMLCite \textit{H. Tian} and \textit{S. Zheng}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 156, 90--110 (2017; Zbl 1368.35097) Full Text: DOI
Zhang, Junjie; Zheng, Shenzhou Weighted Lorentz estimates for nondivergence linear elliptic equations with partially BMO coefficients. (English) Zbl 1359.35024 Commun. Pure Appl. Anal. 16, No. 3, 899-914 (2017). MSC: 35J15 35B65 46E30 PDFBibTeX XMLCite \textit{J. Zhang} and \textit{S. Zheng}, Commun. Pure Appl. Anal. 16, No. 3, 899--914 (2017; Zbl 1359.35024) Full Text: DOI
Zhang, Junjie; Zheng, Shenzhou Lorentz estimates for fully nonlinear parabolic and elliptic equations. (English) Zbl 1353.35085 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 148, 106-125 (2017). MSC: 35B45 35D35 35J60 35K55 PDFBibTeX XMLCite \textit{J. Zhang} and \textit{S. Zheng}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 148, 106--125 (2017; Zbl 1353.35085) Full Text: DOI
Sun, Bang-Cheng; Liu, Zhi-Ming; Li, Qiang; Zheng, Shen-Zhou \(L^{p}\)-estimates for quasilinear subelliptic equations with VMO coefficients under the controllable growth. (English) Zbl 1347.35108 Bound. Value Probl. 2016, Paper No. 148, 18 p. (2016). MSC: 35J50 35J47 35J62 35D30 PDFBibTeX XMLCite \textit{B.-C. Sun} et al., Bound. Value Probl. 2016, Paper No. 148, 18 p. (2016; Zbl 1347.35108) Full Text: DOI
Yu, Haiyan; Zheng, Shenzhou; Tong, Yuxia An alternative approach to partial regularity of quasilinear elliptic systems with VMO coefficients. (English) Zbl 1336.35158 J. Inequal. Appl. 2016, Paper No. 20, 13 p. (2016). Reviewer: Ramzet M. Dzhafarov (Donetsk) MSC: 35J62 35B65 35D30 35R05 PDFBibTeX XMLCite \textit{H. Yu} et al., J. Inequal. Appl. 2016, Paper No. 20, 13 p. (2016; Zbl 1336.35158) Full Text: DOI
Yu, Haiyan; Zheng, Shenzhou BMO estimate to A-harmonic systems with discontinuous coefficients. (English) Zbl 1330.35129 Nonlinear Anal., Real World Appl. 26, 64-74 (2015). MSC: 35J48 35D30 35J70 PDFBibTeX XMLCite \textit{H. Yu} and \textit{S. Zheng}, Nonlinear Anal., Real World Appl. 26, 64--74 (2015; Zbl 1330.35129) Full Text: DOI