Ding, Shusen; Liu, Bing Dirac-harmonic equations for differential forms. (English) Zbl 1325.58011 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 122, 43-57 (2015). Reviewer: Nadine Große (Leipzig) MSC: 58J05 35J60 35B45 30C65 47J05 46E35 58A10 35C99 PDFBibTeX XMLCite \textit{S. Ding} and \textit{B. Liu}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 122, 43--57 (2015; Zbl 1325.58011) Full Text: DOI
Ding, Shusen; Xing, Yuming Poincaré-type inequalities for Green’s operator on harmonic forms. (English) Zbl 1331.58025 Rassias, Themistocles M. (ed.) et al., Optimization in science and engineering. In honor of the 60th birthday of Panos M. Pardalos. New York, NY: Springer (ISBN 978-1-4939-0807-3/hbk; 978-1-4939-0808-0/ebook). 141-155 (2014). Reviewer: Vasil G. Angelov (Sofia) MSC: 58J05 58A10 35J08 PDFBibTeX XMLCite \textit{S. Ding} and \textit{Y. Xing}, in: Optimization in science and engineering. In honor of the 60th birthday of Panos M. Pardalos. New York, NY: Springer. 141--155 (2014; Zbl 1331.58025) Full Text: DOI
Xing, Yuming; Ding, Shusen Imbedding inequalities with \(L{\varphi}\)-norms for composite operators. (English) Zbl 1293.35118 J. Inequal. Appl. 2013, Paper No. 544, 17 p. (2013). MSC: 35J60 35B45 30C65 47J05 46E35 PDFBibTeX XMLCite \textit{Y. Xing} and \textit{S. Ding}, J. Inequal. Appl. 2013, Paper No. 544, 17 p. (2013; Zbl 1293.35118) Full Text: DOI
Dai, Zhimin; Xing, Yuming; Ding, Shusen BMO and Lipschitz norm estimates for the composition of Green’s operator and the potential operator. (English) Zbl 1282.35165 J. Inequal. Appl. 2013, Paper No. 26, 13 p. (2013). MSC: 35J60 31B05 58A10 46E35 35R45 PDFBibTeX XMLCite \textit{Z. Dai} et al., J. Inequal. Appl. 2013, Paper No. 26, 13 p. (2013; Zbl 1282.35165) Full Text: DOI
Dai, Zhimin; Xing, Yuming; Ding, Shusen; Wang, Yong Inequalities for the composition of Green’s operator and the potential operator. (English) Zbl 1281.35035 J. Inequal. Appl. 2012, Paper No. 271, 13 p. (2012). MSC: 35J60 31B05 58A10 46E35 PDFBibTeX XMLCite \textit{Z. Dai} et al., J. Inequal. Appl. 2012, Paper No. 271, 13 p. (2012; Zbl 1281.35035) Full Text: DOI
Ding, Shusen; Xing, Yuming Orlicz norm inequalities for conjugate harmonic forms. (English) Zbl 1259.35095 Pardalos, Panos M. (ed.) et al., Nonlinear analysis. Stability, approximation, and inequalities. In honor of Themistocles M. Rassias on the occasion of his 60th birthday. New York, NY: Springer (ISBN 978-1-4614-3497-9/hbk; 978-1-4614-3498-6/ebook). Springer Optimization and Its Applications 68, 161-176 (2012). MSC: 35J60 31B05 58A10 46E35 PDFBibTeX XMLCite \textit{S. Ding} and \textit{Y. Xing}, Springer Optim. Appl. 68, 161--176 (2012; Zbl 1259.35095) Full Text: DOI
Agarwal, Ravi P.; Ding, Shusen Inequalities for Green’s operator applied to the minimizers. (English) Zbl 1302.58001 J. Inequal. Appl. 2011, Paper No. 66, 10 p. (2011). MSC: 58A10 31B05 35A08 35J08 35J60 46E35 PDFBibTeX XMLCite \textit{R. P. Agarwal} and \textit{S. Ding}, J. Inequal. Appl. 2011, Paper No. 66, 10 p. (2011; Zbl 1302.58001) Full Text: DOI
Ding, Shusen; Zhu, Jianmin Poincaré-type inequalities for the homotopy operator with \(L^{\varphi }(\varOmega )\)-norms. (English) Zbl 1234.35009 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 11, 3728-3735 (2011). Reviewer: Kungching Chang (Beijing) MSC: 35A23 35J62 31B05 58A10 46E35 PDFBibTeX XMLCite \textit{S. Ding} and \textit{J. Zhu}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 11, 3728--3735 (2011; Zbl 1234.35009) Full Text: DOI
Ding, Shusen \(L(\varphi ,\mu )\)-averaging domains and Poincaré inequalities with Orlicz norms. (English) Zbl 1202.46033 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 1, 256-265 (2010). MSC: 46E30 28A25 35J60 26D10 PDFBibTeX XMLCite \textit{S. Ding}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 1, 256--265 (2010; Zbl 1202.46033) Full Text: DOI
Xing, Yuming; Ding, Shusen Caccioppoli inequalities with Orlicz norms for solutions of harmonic equations and applications. (English) Zbl 1190.35090 Nonlinearity 23, No. 5, 1109-1119 (2010). MSC: 35J60 31B05 58A10 46E35 PDFBibTeX XMLCite \textit{Y. Xing} and \textit{S. Ding}, Nonlinearity 23, No. 5, 1109--1119 (2010; Zbl 1190.35090) Full Text: DOI
Xing, Yuming; Ding, Shusen Norms of the composition of the maximal and projection operators. (English) Zbl 1189.35036 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 12, 4614-4624 (2010). MSC: 35B45 26B10 31B10 31C45 46E35 35J60 PDFBibTeX XMLCite \textit{Y. Xing} and \textit{S. Ding}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 12, 4614--4624 (2010; Zbl 1189.35036) Full Text: DOI
Ding, Shusen; Liu, Bing Global estimates for singular integrals of the composite operator. (English) Zbl 1205.35089 Ill. J. Math. 53, No. 4, 1173-1185 (2009). MSC: 35J60 35B45 30C65 47J05 46E35 47B33 PDFBibTeX XMLCite \textit{S. Ding} and \textit{B. Liu}, Ill. J. Math. 53, No. 4, 1173--1185 (2009; Zbl 1205.35089) Full Text: Euclid
Ding, Shusen Norm estimates for the maximal operator and Green’s operator. (English) Zbl 1182.47018 Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 16, No. S1, Suppl., 72-78 (2009). Reviewer: Dian K. Palagachev (Bari) MSC: 47A63 58A10 35J60 31B05 PDFBibTeX XMLCite \textit{S. Ding}, Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 16, No. S1, 72--78 (2009; Zbl 1182.47018)
Ding, Shusen Local and global norm comparison theorems for solutions to the nonhomogeneous A-harmonic equation. (English) Zbl 1124.31004 J. Math. Anal. Appl. 335, No. 2, 1274-1293 (2007). Reviewer: Jan Chrastina (Brno) MSC: 31C05 58A10 58J05 31C12 PDFBibTeX XMLCite \textit{S. Ding}, J. Math. Anal. Appl. 335, No. 2, 1274--1293 (2007; Zbl 1124.31004) Full Text: DOI
Ding, Shusen; Agarwal, Ravi P. Integrability of the solutions to conjugate \(A\)-harmonic equation in \(L^s(\mu)\)-averaging domains. (English) Zbl 1330.35148 Arch. Inequal. Appl. 2, No. 4, 517-526 (2004). MSC: 35J60 31B05 58A10 PDFBibTeX XMLCite \textit{S. Ding} and \textit{R. P. Agarwal}, Arch. Inequal. Appl. 2, No. 4, 517--526 (2004; Zbl 1330.35148)
Ding, Shusen; Bao, Gejun; Xing, Yuming Sobolev-Poincaré embeddings for operators on harmonic forms on manifolds. (English) Zbl 1049.46016 Comput. Math. Appl. 47, No. 2-3, 259-270 (2004). MSC: 46E35 26D15 35J50 PDFBibTeX XMLCite \textit{S. Ding} et al., Comput. Math. Appl. 47, No. 2--3, 259--270 (2004; Zbl 1049.46016) Full Text: DOI
Ding, S. Integral estimates for the Laplace-Beltrami and Green’s operators applied to differential forms on manifolds. (English) Zbl 1044.58002 Z. Anal. Anwend. 22, No. 4, 939-957 (2003). Reviewer: Andrew Bucki (Oklahoma City) MSC: 58A10 46E35 58A14 35J60 PDFBibTeX XMLCite \textit{S. Ding}, Z. Anal. Anwend. 22, No. 4, 939--957 (2003; Zbl 1044.58002) Full Text: DOI
Ding, Shusen; Nolder, Craig A. \(L^{s}(\mu)\)-averaging domains. (English) Zbl 1027.30053 J. Math. Anal. Appl. 283, No. 1, 85-99 (2003). Reviewer: Erich Hoy (Friedberg) MSC: 30C65 31B05 26D20 35J60 42B20 46E30 PDFBibTeX XMLCite \textit{S. Ding} and \textit{C. A. Nolder}, J. Math. Anal. Appl. 283, No. 1, 85--99 (2003; Zbl 1027.30053) Full Text: DOI
Ding, Shusen; Nolder, Craig A. Weighted Poincaré inequalities for solutions to \(A\)-harmonic equations. (English) Zbl 1071.35520 Ill. J. Math. 46, No. 1, 199-205 (2002). MSC: 35J60 31B05 58A10 46E35 PDFBibTeX XMLCite \textit{S. Ding} and \textit{C. A. Nolder}, Ill. J. Math. 46, No. 1, 199--205 (2002; Zbl 1071.35520)