Ding, Yanheng; Dong, Xiaojing; Guo, Qi On multiplicity of semi-classical solutions to nonlinear Dirac equations of space-dimension \(n\). (English) Zbl 1482.35184 Discrete Contin. Dyn. Syst. 41, No. 9, 4105-4123 (2021). MSC: 35Q40 49J35 35A15 PDF BibTeX XML Cite \textit{Y. Ding} et al., Discrete Contin. Dyn. Syst. 41, No. 9, 4105--4123 (2021; Zbl 1482.35184) Full Text: DOI OpenURL
Ding, Yanheng; Guo, Qi; Yu, Yuanyang Existence of semiclassical solutions for some critical Dirac equation. (English) Zbl 1456.81166 J. Math. Phys. 62, No. 1, 011501, 22 p. (2021). MSC: 81Q05 81R20 81Q20 15A66 35A15 35A01 PDF BibTeX XML Cite \textit{Y. Ding} et al., J. Math. Phys. 62, No. 1, 011501, 22 p. (2021; Zbl 1456.81166) Full Text: DOI OpenURL
Ding, Yanheng; Gao, Fashun; Yang, Minbo Semiclassical states for Choquard type equations with critical growth: critical frequency case. (English) Zbl 1454.35085 Nonlinearity 33, No. 12, 6695-6728 (2020). MSC: 35J20 35J60 35B33 PDF BibTeX XML Cite \textit{Y. Ding} et al., Nonlinearity 33, No. 12, 6695--6728 (2020; Zbl 1454.35085) Full Text: DOI arXiv OpenURL
Ding, Yanheng; Guo, Qi; Yu, Yuanyang Semiclassical states for Dirac-Klein-Gordon system with critical growth. (English) Zbl 1436.35027 J. Math. Anal. Appl. 488, No. 2, Article ID 124092, 29 p. (2020). MSC: 35B25 35A01 PDF BibTeX XML Cite \textit{Y. Ding} et al., J. Math. Anal. Appl. 488, No. 2, Article ID 124092, 29 p. (2020; Zbl 1436.35027) Full Text: DOI OpenURL
Ding, Yanheng; Yu, Yuanyang The concentration behavior of ground state solutions for nonlinear Dirac equation. (English) Zbl 1435.35325 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 195, Article ID 111738, 24 p. (2020). Reviewer: Alessandro Selvitella (Fort Wayne) MSC: 35Q41 35Q40 49J35 81V10 83C10 PDF BibTeX XML Cite \textit{Y. Ding} and \textit{Y. Yu}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 195, Article ID 111738, 24 p. (2020; Zbl 1435.35325) Full Text: DOI OpenURL
Ding, Yanheng; Liu, Xiaoying Periodic solutions of superlinear Dirac equations with perturbations from symmetry. (English) Zbl 1380.81104 J. Math. Phys. 59, No. 1, 011504, 17 p. (2018). MSC: 81Q05 81R20 81Q15 35B10 35A15 PDF BibTeX XML Cite \textit{Y. Ding} and \textit{X. Liu}, J. Math. Phys. 59, No. 1, 011504, 17 p. (2018; Zbl 1380.81104) Full Text: DOI OpenURL
Ding, Yanheng; Wei, Juncheng Multiplicity of semiclassical solutions to nonlinear Schrödinger equations. (English) Zbl 1364.35330 J. Fixed Point Theory Appl. 19, No. 1, 987-1010 (2017). MSC: 35Q55 35A09 PDF BibTeX XML Cite \textit{Y. Ding} and \textit{J. Wei}, J. Fixed Point Theory Appl. 19, No. 1, 987--1010 (2017; Zbl 1364.35330) Full Text: DOI OpenURL
Ding, Yanheng; Liu, Xiaoying Periodic solutions of an asymptotically linear Dirac equation. (English) Zbl 1368.35228 Ann. Mat. Pura Appl. (4) 196, No. 2, 717-735 (2017). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 35Q40 35B10 35A15 PDF BibTeX XML Cite \textit{Y. Ding} and \textit{X. Liu}, Ann. Mat. Pura Appl. (4) 196, No. 2, 717--735 (2017; Zbl 1368.35228) Full Text: DOI OpenURL
Ding, Yanheng; Xu, Tian Localized concentration of semi-classical states for nonlinear Dirac equations. (English) Zbl 1309.35102 Arch. Ration. Mech. Anal. 216, No. 2, 415-447 (2015). MSC: 35Q41 81V10 35P15 35B38 PDF BibTeX XML Cite \textit{Y. Ding} and \textit{T. Xu}, Arch. Ration. Mech. Anal. 216, No. 2, 415--447 (2015; Zbl 1309.35102) Full Text: DOI arXiv OpenURL
Ding, Yanheng; Lee, Cheng; Zhao, Fukun Semiclassical limits of ground state solutions to Schrödinger systems. (English) Zbl 1310.35104 Calc. Var. Partial Differ. Equ. 51, No. 3-4, 725-760 (2014). Reviewer: Anthony D. Osborne (Keele) MSC: 35J50 58E05 35Q55 PDF BibTeX XML Cite \textit{Y. Ding} et al., Calc. Var. Partial Differ. Equ. 51, No. 3--4, 725--760 (2014; Zbl 1310.35104) Full Text: DOI OpenURL
Ding, Yanheng; Xu, Tian On semi-classical limits of ground states of a nonlinear Maxwell-Dirac system. (English) Zbl 1297.35197 Calc. Var. Partial Differ. Equ. 51, No. 1-2, 17-44 (2014). MSC: 35Q40 49J35 35A15 PDF BibTeX XML Cite \textit{Y. Ding} and \textit{T. Xu}, Calc. Var. Partial Differ. Equ. 51, No. 1--2, 17--44 (2014; Zbl 1297.35197) Full Text: DOI arXiv OpenURL
Ding, Yanheng; Liu, Xiaoying Semiclassical solutions of Schrödinger equations with magnetic fields and critical nonlinearities. (English) Zbl 1283.35122 Manuscr. Math. 140, No. 1-2, 51-82 (2013). Reviewer: Qin Meng Zhao (Beijing) MSC: 35Q55 35A01 PDF BibTeX XML Cite \textit{Y. Ding} and \textit{X. Liu}, Manuscr. Math. 140, No. 1--2, 51--82 (2013; Zbl 1283.35122) Full Text: DOI OpenURL
Yang, Minbo; Zhao, Fukun; Ding, Yanheng On the existence of solutions for Schrödinger-Maxwell systems in \(R^3\). (English) Zbl 1253.35166 Rocky Mt. J. Math. 42, No. 5, 1655-1674 (2012). MSC: 35Q55 35Q61 35J20 35J60 PDF BibTeX XML Cite \textit{M. Yang} et al., Rocky Mt. J. Math. 42, No. 5, 1655--1674 (2012; Zbl 1253.35166) Full Text: DOI Euclid OpenURL
Ding, Yanheng; Liu, Xiaoying Semi-classical limits of ground states of a nonlinear Dirac equation. (English) Zbl 1236.35133 J. Differ. Equations 252, No. 9, 4962-4987 (2012). MSC: 35Q41 81Q05 35P15 PDF BibTeX XML Cite \textit{Y. Ding} and \textit{X. Liu}, J. Differ. Equations 252, No. 9, 4962--4987 (2012; Zbl 1236.35133) Full Text: DOI OpenURL
Zhao, Fukun; Ding, Yanheng On Hamiltonian elliptic systems with periodic or non-periodic potentials. (English) Zbl 1205.35080 J. Differ. Equations 249, No. 12, 2964-2985 (2010). MSC: 35J47 35J50 35J57 58E05 PDF BibTeX XML Cite \textit{F. Zhao} and \textit{Y. Ding}, J. Differ. Equations 249, No. 12, 2964--2985 (2010; Zbl 1205.35080) Full Text: DOI OpenURL
Zhao, Fukun; Zhao, Leiga; Ding, Yanheng Infinitely many solutions for asymptotically linear periodic Hamiltonian elliptic systems. (English) Zbl 1189.35091 ESAIM, Control Optim. Calc. Var. 16, No. 1, 77-91 (2010). MSC: 35J57 35J50 35J47 PDF BibTeX XML Cite \textit{F. Zhao} et al., ESAIM, Control Optim. Calc. Var. 16, No. 1, 77--91 (2010; Zbl 1189.35091) Full Text: DOI EuDML OpenURL
Zhao, Fukun; Zhao, Leiga; Ding, Yanheng A note on superlinear Hamiltonian elliptic systems. (English) Zbl 1304.35266 J. Math. Phys. 50, No. 11, 112702, 7 p. (2009). MSC: 35J47 35J91 37K05 PDF BibTeX XML Cite \textit{F. Zhao} et al., J. Math. Phys. 50, No. 11, 112702, 7 p. (2009; Zbl 1304.35266) Full Text: DOI OpenURL
Zhao, Fukun; Ding, Yanheng Infinitely many solutions for a class of nonlinear Dirac equations without symmetry. (English) Zbl 1152.35501 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 2, 921-935 (2009). MSC: 35Q55 35A15 PDF BibTeX XML Cite \textit{F. Zhao} and \textit{Y. Ding}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 2, 921--935 (2009; Zbl 1152.35501) Full Text: DOI OpenURL
Zhao, Fukun; Zhao, Leiga; Ding, Yanheng Existence and multiplicity of solutions for a non-periodic Schrödinger equation. (English) Zbl 1159.35431 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 11, 3671-3678 (2008). MSC: 35Q55 58E05 35A15 PDF BibTeX XML Cite \textit{F. Zhao} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 11, 3671--3678 (2008; Zbl 1159.35431) Full Text: DOI OpenURL
Ding, Yanheng; Szulkin, Andrzej Bound states for semilinear Schrödinger equations with sign-changing potential. (English) Zbl 1119.35082 Calc. Var. Partial Differ. Equ. 29, No. 3, 397-419 (2007). MSC: 35Q55 35A15 81Q05 PDF BibTeX XML Cite \textit{Y. Ding} and \textit{A. Szulkin}, Calc. Var. Partial Differ. Equ. 29, No. 3, 397--419 (2007; Zbl 1119.35082) Full Text: DOI OpenURL
Ding, Yanheng; Lee, Cheng Multiple solutions of Schrödinger equations with indefinite linear part and super or asymptotically linear terms. (English) Zbl 1090.35077 J. Differ. Equations 222, No. 1, 137-163 (2006). MSC: 35J60 35Q55 PDF BibTeX XML Cite \textit{Y. Ding} and \textit{C. Lee}, J. Differ. Equations 222, No. 1, 137--163 (2006; Zbl 1090.35077) Full Text: DOI OpenURL