Kim, Jeongho; Moon, Bora Quantified hydrodynamic limits for Schrödinger-type equations without the nonlinear potential. (English) Zbl 07729122 J. Evol. Equ. 23, No. 3, Paper No. 51, 27 p. (2023). MSC: 35Q55 35Q41 35Q40 35B40 76Y05 PDF BibTeX XML Cite \textit{J. Kim} and \textit{B. Moon}, J. Evol. Equ. 23, No. 3, Paper No. 51, 27 p. (2023; Zbl 07729122) Full Text: DOI
Kim, Kihyun; Kwon, Soonsik On pseudoconformal blow-up solutions to the self-dual Chern-Simons-Schrödinger equation: existence, uniqueness, and instability. (English) Zbl 07679302 Memoirs of the American Mathematical Society 1409. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6120-1/pbk; 978-1-4704-7447-8/ebook). vi, 128 p. (2023). MSC: 35-02 35B44 35Q55 PDF BibTeX XML Cite \textit{K. Kim} and \textit{S. Kwon}, On pseudoconformal blow-up solutions to the self-dual Chern-Simons-Schrödinger equation: existence, uniqueness, and instability. Providence, RI: American Mathematical Society (AMS) (2023; Zbl 07679302) Full Text: DOI arXiv
Tan, Jin-Lan; Kang, Jin-Cai; Tang, Chun-Lei Existence and concentration of ground state solutions for Chern-Simons-Schrödinger system with general nonlinearity. (English) Zbl 1510.35009 Mediterr. J. Math. 20, No. 2, Paper No. 96, 13 p. (2023). MSC: 35A15 35A01 35J20 PDF BibTeX XML Cite \textit{J.-L. Tan} et al., Mediterr. J. Math. 20, No. 2, Paper No. 96, 13 p. (2023; Zbl 1510.35009) Full Text: DOI
Yang, Yanling; Wang, Tao; Guo, Hui Existence of sign-changing solutions for a gauged nonlinear Schrödinger equation with a quintic term. (English) Zbl 1505.35121 J. Math. Anal. Appl. 520, No. 1, Article ID 126877, 22 p. (2023). MSC: 35J10 35Q55 35A01 35B40 PDF BibTeX XML Cite \textit{Y. Yang} et al., J. Math. Anal. Appl. 520, No. 1, Article ID 126877, 22 p. (2023; Zbl 1505.35121) Full Text: DOI
Kang, Jin-Cai; Liu, Xiao-Qi; Tang, Chun-Lei Chern-Simons limit of ground state solutions for the Schrödinger equations coupled with a neutral scalar field. (English) Zbl 1503.35211 J. Differ. Equations 343, 152-185 (2023). MSC: 35Q55 35A09 35A15 35B40 35B06 35R01 PDF BibTeX XML Cite \textit{J.-C. Kang} et al., J. Differ. Equations 343, 152--185 (2023; Zbl 1503.35211) Full Text: DOI
Xiao, Yingying; Zhu, Chuanxi; Chen, Jianhua Combined effects of concave and convex nonlinearities for the generalized Chern-Simons-Schrödinger systems with steep potential well and \(1 < p < 2 < q < 6\). (English) Zbl 1508.35162 J. Math. Phys. 63, No. 5, Article ID 051506, 18 p. (2022). MSC: 35Q55 35J20 35J60 35J10 35A01 PDF BibTeX XML Cite \textit{Y. Xiao} et al., J. Math. Phys. 63, No. 5, Article ID 051506, 18 p. (2022; Zbl 1508.35162) Full Text: DOI
Li, Zexing; Liu, Baoping On threshold solutions of the equivariant Chern-Simons-Schrödinger equation. (English) Zbl 1508.35155 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 39, No. 2, 371-417 (2022). MSC: 35Q55 35Q41 35R09 35P25 35B44 35B40 PDF BibTeX XML Cite \textit{Z. Li} and \textit{B. Liu}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 39, No. 2, 371--417 (2022; Zbl 1508.35155) Full Text: DOI arXiv
Kim, Jeongho; Moon, Bora Finite difference methods for the one-dimensional Chern-Simons gauged models. (English) Zbl 1501.65039 Discrete Contin. Dyn. Syst., Ser. B 27, No. 11, 6417-6439 (2022). MSC: 65M06 65N06 35Q41 35Q55 PDF BibTeX XML Cite \textit{J. Kim} and \textit{B. Moon}, Discrete Contin. Dyn. Syst., Ser. B 27, No. 11, 6417--6439 (2022; Zbl 1501.65039) Full Text: DOI
Kim, Kihyun Blow-up dynamics for the self-dual Chern-Simons-Schrödinger equation. (English) Zbl 1496.35364 Sémin. Laurent Schwartz, EDP Appl. 2021-2022, Exp. No. 2, 13 p. (2022). MSC: 35Q55 35Q40 35B44 PDF BibTeX XML Cite \textit{K. Kim}, Sémin. Laurent Schwartz, EDP Appl. 2021--2022, Exp. No. 2, 13 p. (2022; Zbl 1496.35364) Full Text: DOI
Deng, Jin; Li, Benniao A ground state solution to the Chern-Simons-Schrödinger system. (English) Zbl 1513.35170 Acta Math. Sci., Ser. B, Engl. Ed. 42, No. 5, 1743-1764 (2022). MSC: 35J20 35Q40 35Q51 PDF BibTeX XML Cite \textit{J. Deng} and \textit{B. Li}, Acta Math. Sci., Ser. B, Engl. Ed. 42, No. 5, 1743--1764 (2022; Zbl 1513.35170) Full Text: DOI
Shen, Liejun; Squassina, Marco; Yang, Minbo Critical gauged Schrödinger equations in \(\mathbb{R}^2\) with vanishing potentials. (English) Zbl 1497.35127 Discrete Contin. Dyn. Syst. 42, No. 9, 4415-4438 (2022). MSC: 35J10 35Q55 35A01 PDF BibTeX XML Cite \textit{L. Shen} et al., Discrete Contin. Dyn. Syst. 42, No. 9, 4415--4438 (2022; Zbl 1497.35127) Full Text: DOI arXiv
Tan, Jinlan; Li, Yongyong; Tang, Chunlei The existence and concentration of ground state solutions for Chern-Simons-Schrödinger systems with a steep well potential. (English) Zbl 1513.35011 Acta Math. Sci., Ser. B, Engl. Ed. 42, No. 3, 1125-1140 (2022). MSC: 35A01 35J20 35J60 PDF BibTeX XML Cite \textit{J. Tan} et al., Acta Math. Sci., Ser. B, Engl. Ed. 42, No. 3, 1125--1140 (2022; Zbl 1513.35011) Full Text: DOI
Xiao, Yingying; Zhu, Chuanxi On Chern-Simons-Schrödinger systems involving steep potential well and concave-convex nonlinearities. (English) Zbl 1497.35130 Adv. Differ. Equ. 27, No. 9-10, 543-570 (2022). MSC: 35J10 35J61 35A01 35A15 PDF BibTeX XML Cite \textit{Y. Xiao} and \textit{C. Zhu}, Adv. Differ. Equ. 27, No. 9--10, 543--570 (2022; Zbl 1497.35130) Full Text: Link
Kim, Jeongho; Moon, Bora Hydrodynamic limits of the nonlinear Schrödinger equation with the Chern-Simons gauge fields. (English) Zbl 1489.35254 Discrete Contin. Dyn. Syst. 42, No. 6, 2541-2561 (2022). MSC: 35Q55 35B40 35Q31 PDF BibTeX XML Cite \textit{J. Kim} and \textit{B. Moon}, Discrete Contin. Dyn. Syst. 42, No. 6, 2541--2561 (2022; Zbl 1489.35254) Full Text: DOI arXiv
Shen, Liejun Sign-changing solutions to a gauged nonlinear Schrödinger equation with critical exponential growth. (English) Zbl 1489.35099 Complex Var. Elliptic Equ. 67, No. 5, 1186-1203 (2022). MSC: 35J61 35A01 PDF BibTeX XML Cite \textit{L. Shen}, Complex Var. Elliptic Equ. 67, No. 5, 1186--1203 (2022; Zbl 1489.35099) Full Text: DOI
Azzollini, Antonio; Pomponio, Alessio Positive energy static solutions for the Chern-Simons-Schrödinger system under a large-distance fall-off requirement on the gauge potentials. (English) Zbl 1473.35190 Calc. Var. Partial Differ. Equ. 60, No. 5, Paper No. 165, 30 p. (2021). MSC: 35J47 35Q60 35A01 PDF BibTeX XML Cite \textit{A. Azzollini} and \textit{A. Pomponio}, Calc. Var. Partial Differ. Equ. 60, No. 5, Paper No. 165, 30 p. (2021; Zbl 1473.35190) Full Text: DOI arXiv
Wang, Lin-Jing; Li, Gui-Dong; Tang, Chun-Lei Existence and concentration of semi-classical ground state solutions for Chern-Simons-Schrödinger system. (English) Zbl 1467.35031 Qual. Theory Dyn. Syst. 20, No. 2, Paper No. 40, 18 p. (2021). MSC: 35B25 35J20 35J61 PDF BibTeX XML Cite \textit{L.-J. Wang} et al., Qual. Theory Dyn. Syst. 20, No. 2, Paper No. 40, 18 p. (2021; Zbl 1467.35031) Full Text: DOI
Li, Gui-Dong; Li, Yong-Yong; Tang, Chun-Lei Existence and concentrate behavior of positive solutions for Chern-Simons-Schrödinger systems with critical growth. (English) Zbl 1464.35100 Complex Var. Elliptic Equ. 66, No. 3, 476-486 (2021). MSC: 35J47 35B09 35A01 35J50 PDF BibTeX XML Cite \textit{G.-D. Li} et al., Complex Var. Elliptic Equ. 66, No. 3, 476--486 (2021; Zbl 1464.35100) Full Text: DOI
Pan, Hui-Lan; Li, Gui-Dong; Tang, Chun-Lei A positive ground state solution of asymptotically periodic Chern-Simons-Schrödinger systems with critical growth. (English) Zbl 1462.35365 J. Math. Anal. Appl. 495, No. 1, Article ID 124708, 19 p. (2021). MSC: 35Q55 35A15 35A01 PDF BibTeX XML Cite \textit{H.-L. Pan} et al., J. Math. Anal. Appl. 495, No. 1, Article ID 124708, 19 p. (2021; Zbl 1462.35365) Full Text: DOI
Gou, Tianxiang; Zhang, Zhitao Normalized solutions to the Chern-Simons-Schrödinger system. (English) Zbl 1455.35080 J. Funct. Anal. 280, No. 5, Article ID 108894, 66 p. (2021). MSC: 35J47 35B06 35A01 PDF BibTeX XML Cite \textit{T. Gou} and \textit{Z. Zhang}, J. Funct. Anal. 280, No. 5, Article ID 108894, 66 p. (2021; Zbl 1455.35080) Full Text: DOI arXiv
Colin, Mathieu; Watanabe, Tatsuya Cauchy problem for the nonlinear Schrödinger equation coupled with the Maxwell equation. (Problème de Cauchy pour une équation de Schrödinger nonlinéaire couplée avec les équations de Maxwell.) (English. French summary) Zbl 1483.35203 Ann. Henri Lebesgue 3, 67-85 (2020). MSC: 35Q55 35L45 35L70 35Q61 PDF BibTeX XML Cite \textit{M. Colin} and \textit{T. Watanabe}, Ann. Henri Lebesgue 3, 67--85 (2020; Zbl 1483.35203) Full Text: DOI
Kang, Jincai; Tang, Chunlei Ground state radial sign-changing solutions for a gauged nonlinear Schrödinger equation involving critical growth. (English) Zbl 1460.35006 Commun. Pure Appl. Anal. 19, No. 11, 5239-5252 (2020). MSC: 35A15 35A01 35J61 PDF BibTeX XML Cite \textit{J. Kang} and \textit{C. Tang}, Commun. Pure Appl. Anal. 19, No. 11, 5239--5252 (2020; Zbl 1460.35006) Full Text: DOI
Rajaratnam, K.; Sigal, I. M. Vortex lattice solutions of the ZHK Chern-Simons equations. (English) Zbl 1451.35148 Nonlinearity 33, No. 10, 5246-5271 (2020). Reviewer: Alessandro Selvitella (Fort Wayne) MSC: 35Q40 35J61 81V74 81V70 82D55 82C20 58J28 35R09 35R11 PDF BibTeX XML Cite \textit{K. Rajaratnam} and \textit{I. M. Sigal}, Nonlinearity 33, No. 10, 5246--5271 (2020; Zbl 1451.35148) Full Text: DOI arXiv
Zhang, Jian; Tang, Xianhua; Zhao, Fukun On multiplicity and concentration of solutions for a gauged nonlinear Schrödinger equation. (English) Zbl 1448.35133 Appl. Anal. 99, No. 12, 2001-2012 (2020). MSC: 35J10 35Q55 35A01 PDF BibTeX XML Cite \textit{J. Zhang} et al., Appl. Anal. 99, No. 12, 2001--2012 (2020; Zbl 1448.35133) Full Text: DOI
Huh, Hyungjin; Hussain, Swaleh; Pelinovsky, Dmitry E. Chern-Simons-Schrödinger theory on a one-dimensional lattice. (English) Zbl 1446.35183 Lett. Math. Phys. 110, No. 8, 2221-2244 (2020). MSC: 35Q55 35Q40 70S15 81T13 35A01 35A02 35C08 PDF BibTeX XML Cite \textit{H. Huh} et al., Lett. Math. Phys. 110, No. 8, 2221--2244 (2020; Zbl 1446.35183) Full Text: DOI arXiv
d’Avenia, Pietro; Pomponio, Alessio; Watanabe, Tatsuya Standing waves of modified Schrödinger equations coupled with the Chern-Simons gauge theory. (English) Zbl 1444.35073 Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 4, 1915-1936 (2020). MSC: 35J62 35J20 35Q60 PDF BibTeX XML Cite \textit{P. d'Avenia} et al., Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 4, 1915--1936 (2020; Zbl 1444.35073) Full Text: DOI arXiv
Yuan, Jianjun Global existence and scattering of equivariant defocusing Chern-Simons-Schrödinger system. (English) Zbl 1442.35434 Discrete Contin. Dyn. Syst. 40, No. 9, 5541-5570 (2020). MSC: 35Q55 35A01 35Q41 35P25 PDF BibTeX XML Cite \textit{J. Yuan}, Discrete Contin. Dyn. Syst. 40, No. 9, 5541--5570 (2020; Zbl 1442.35434) Full Text: DOI
Chen, Zhi; Tang, Xianhua; Zhang, Jian Sign-changing multi-bump solutions for the Chern-Simons-Schrödinger equations in \(\mathbb{R} ^2\). (English) Zbl 1429.35081 Adv. Nonlinear Anal. 9, 1066-1091 (2020). MSC: 35J60 35J20 58E50 PDF BibTeX XML Cite \textit{Z. Chen} et al., Adv. Nonlinear Anal. 9, 1066--1091 (2020; Zbl 1429.35081) Full Text: DOI
Liu, Zhisu; Ouyang, Zigen; Zhang, Jianjun Existence and multiplicity of sign-changing standing waves for a gauged nonlinear Schrödinger equation in \(\mathbb R^2\). (English) Zbl 1421.35155 Nonlinearity 32, No. 8, 3082-3111 (2019). MSC: 35J91 35J10 35J20 PDF BibTeX XML Cite \textit{Z. Liu} et al., Nonlinearity 32, No. 8, 3082--3111 (2019; Zbl 1421.35155) Full Text: DOI arXiv
Chen, Sitong; Zhang, Binlin; Tang, Xianhua Existence and concentration of semiclassical ground state solutions for the generalized Chern-Simons-Schrödinger system in \(H^1(\mathbb{R}^2)\). (English) Zbl 1421.35146 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 185, 68-96 (2019). MSC: 35J91 35J47 35J20 PDF BibTeX XML Cite \textit{S. Chen} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 185, 68--96 (2019; Zbl 1421.35146) Full Text: DOI
Luo, Xiao Existence and stability of standing waves for a planar gauged nonlinear Schrödinger equation. (English) Zbl 1442.35426 Comput. Math. Appl. 76, No. 11-12, 2701-2709 (2018). MSC: 35Q55 35B35 35C08 PDF BibTeX XML Cite \textit{X. Luo}, Comput. Math. Appl. 76, No. 11--12, 2701--2709 (2018; Zbl 1442.35426) Full Text: DOI
Huh, Hyungjin; Moon, Bora Global energy solution to the Schrödinger equation coupled with the Chern-Simons gauge and neutral field. (English) Zbl 1410.35201 Adv. Math. Phys. 2018, Article ID 3962062, 8 p. (2018). Reviewer: Anthony D. Osborne (Keele) MSC: 35Q55 PDF BibTeX XML Cite \textit{H. Huh} and \textit{B. Moon}, Adv. Math. Phys. 2018, Article ID 3962062, 8 p. (2018; Zbl 1410.35201) Full Text: DOI
Luo, Xiao Multiple normalized solutions for a planar gauged nonlinear Schrödinger equation. (English) Zbl 1393.35024 Z. Angew. Math. Phys. 69, No. 3, Paper No. 58, 17 p. (2018). MSC: 35J20 35J60 35J92 35Q55 PDF BibTeX XML Cite \textit{X. Luo}, Z. Angew. Math. Phys. 69, No. 3, Paper No. 58, 17 p. (2018; Zbl 1393.35024) Full Text: DOI
Deng, Yinbin; Peng, Shuangjie; Shuai, Wei Nodal standing waves for a gauged nonlinear Schrödinger equation in \(\mathbb{R}^2\). (English) Zbl 1383.35064 J. Differ. Equations 264, No. 6, 4006-4035 (2018). MSC: 35J10 35J60 PDF BibTeX XML Cite \textit{Y. Deng} et al., J. Differ. Equations 264, No. 6, 4006--4035 (2018; Zbl 1383.35064) Full Text: DOI
Lim, Zhuo Min Large data well-posedness in the energy space of the Chern-Simons-Schrödinger system. (English) Zbl 1386.35381 J. Differ. Equations 264, No. 4, 2553-2597 (2018). Reviewer: Anthony D. Osborne (Keele) MSC: 35Q55 35B65 35B45 PDF BibTeX XML Cite \textit{Z. M. Lim}, J. Differ. Equations 264, No. 4, 2553--2597 (2018; Zbl 1386.35381) Full Text: DOI arXiv
Wan, Youyan; Tan, Jinggang Concentration of semi-classical solutions to the Chern-Simons-Schrödinger systems. (English) Zbl 1376.35019 NoDEA, Nonlinear Differ. Equ. Appl. 24, No. 3, Paper No. 28, 24 p. (2017). MSC: 35J10 35J50 PDF BibTeX XML Cite \textit{Y. Wan} and \textit{J. Tan}, NoDEA, Nonlinear Differ. Equ. Appl. 24, No. 3, Paper No. 28, 24 p. (2017; Zbl 1376.35019) Full Text: DOI
Tang, Xianhua; Zhang, Jian; Zhang, Wen Existence and concentration of solutions for the Chern-Simons-Schrödinger system with general nonlinearity. (English) Zbl 1376.35026 Result. Math. 71, No. 3-4, 643-655 (2017). MSC: 35J20 35Q55 PDF BibTeX XML Cite \textit{X. Tang} et al., Result. Math. 71, No. 3--4, 643--655 (2017; Zbl 1376.35026) Full Text: DOI
Huh, Hyungjin Global solutions to time-dependent Ginzburg-Landau-Chern-Simons equations. (English) Zbl 1375.35512 J. Math. Anal. Appl. 455, No. 1, 714-726 (2017). MSC: 35Q56 82D55 35A01 PDF BibTeX XML Cite \textit{H. Huh}, J. Math. Anal. Appl. 455, No. 1, 714--726 (2017; Zbl 1375.35512) Full Text: DOI
Chae, Myeongju; Oh, Sung-Jin Small data global existence and decay for relativistic Chern-Simons equations. (English) Zbl 1383.81134 Ann. Henri Poincaré 18, No. 6, 2123-2198 (2017). Reviewer: Sergiy Koshkin (Houston) MSC: 81T13 70H40 81S22 58J28 PDF BibTeX XML Cite \textit{M. Chae} and \textit{S.-J. Oh}, Ann. Henri Poincaré 18, No. 6, 2123--2198 (2017; Zbl 1383.81134) Full Text: DOI arXiv
Wan, Youyan; Tan, Jinggang The existence of nontrivial solutions to Chern-Simons-Schrödinger systems. (English) Zbl 1376.35039 Discrete Contin. Dyn. Syst. 37, No. 5, 2765-2786 (2017). Reviewer: S. G. Pyatkov (Khanty-Mansiysk) MSC: 35J47 35J10 35J50 PDF BibTeX XML Cite \textit{Y. Wan} and \textit{J. Tan}, Discrete Contin. Dyn. Syst. 37, No. 5, 2765--2786 (2017; Zbl 1376.35039) Full Text: DOI
Liu, Baoping; Smith, Paul Global wellposedness of the equivariant Chern-Simons-Schrödinger equation. (English) Zbl 1352.35161 Rev. Mat. Iberoam. 32, No. 3, 751-794 (2016). MSC: 35Q55 35B40 35P25 PDF BibTeX XML Cite \textit{B. Liu} and \textit{P. Smith}, Rev. Mat. Iberoam. 32, No. 3, 751--794 (2016; Zbl 1352.35161) Full Text: DOI arXiv
Yuan, Jianjun Multiple normalized solutions of Chern-Simons-Schrödinger system. (English) Zbl 1328.35224 NoDEA, Nonlinear Differ. Equ. Appl. 22, No. 6, 1801-1816 (2015). MSC: 35Q55 35A15 35B30 PDF BibTeX XML Cite \textit{J. Yuan}, NoDEA, Nonlinear Differ. Equ. Appl. 22, No. 6, 1801--1816 (2015; Zbl 1328.35224) Full Text: DOI
Pomponio, Alessio; Ruiz, David A variational analysis of a gauged nonlinear Schrödinger equation. (English) Zbl 1328.35218 J. Eur. Math. Soc. (JEMS) 17, No. 6, 1463-1486 (2015). Reviewer: Xingbin Pan (Shanghai) MSC: 35Q55 35J20 35B09 PDF BibTeX XML Cite \textit{A. Pomponio} and \textit{D. Ruiz}, J. Eur. Math. Soc. (JEMS) 17, No. 6, 1463--1486 (2015; Zbl 1328.35218) Full Text: DOI arXiv
Pomponio, Alessio; Ruiz, David Boundary concentration of a gauged nonlinear Schrödinger equation on large balls. (English) Zbl 1331.35326 Calc. Var. Partial Differ. Equ. 53, No. 1-2, 289-316 (2015). Reviewer: Andrew Pickering (Madrid) MSC: 35Q55 PDF BibTeX XML Cite \textit{A. Pomponio} and \textit{D. Ruiz}, Calc. Var. Partial Differ. Equ. 53, No. 1--2, 289--316 (2015; Zbl 1331.35326) Full Text: DOI arXiv
Han, Jongmin; Huh, Hyungjin; Seok, Jinmyoung Chern-Simons limit of the standing wave solutions for the Schrödinger equations coupled with a neutral scalar field. (English) Zbl 1304.35642 J. Funct. Anal. 266, No. 1, 318-342 (2014). MSC: 35Q55 35B06 PDF BibTeX XML Cite \textit{J. Han} et al., J. Funct. Anal. 266, No. 1, 318--342 (2014; Zbl 1304.35642) Full Text: DOI
Smith, Paul An unconstrained Lagrangian formulation and conservation laws for the Schrödinger map system. (English) Zbl 1348.58021 J. Math. Phys. 55, No. 5, 051502, 16 p. (2014). MSC: 58J70 PDF BibTeX XML Cite \textit{P. Smith}, J. Math. Phys. 55, No. 5, 051502, 16 p. (2014; Zbl 1348.58021) Full Text: DOI arXiv
Huh, Hyungjin Energy solution to the Chern-Simons-Schrödinger equations. (English) Zbl 1276.35138 Abstr. Appl. Anal. 2013, Article ID 590653, 7 p. (2013). MSC: 35Q60 35Q40 PDF BibTeX XML Cite \textit{H. Huh}, Abstr. Appl. Anal. 2013, Article ID 590653, 7 p. (2013; Zbl 1276.35138) Full Text: DOI
Huh, Hyungjin Standing waves of the Schrödinger equation coupled with the Chern-Simons gauge field. (English) Zbl 1276.81053 J. Math. Phys. 53, No. 6, 063702, 8 p. (2012). MSC: 81Q05 81T13 35B10 58J28 PDF BibTeX XML Cite \textit{H. Huh}, J. Math. Phys. 53, No. 6, 063702, 8 p. (2012; Zbl 1276.81053) Full Text: DOI
Chae, Myeongju; Huh, Hyungjin Semi-nonrelativistic limit of the Chern-Simons-Higgs system. (English) Zbl 1342.81266 J. Math. Phys. 50, No. 7, 072303, 19 p. (2009). MSC: 81T13 35B40 58E50 PDF BibTeX XML Cite \textit{M. Chae} and \textit{H. Huh}, J. Math. Phys. 50, No. 7, 072303, 19 p. (2009; Zbl 1342.81266) Full Text: DOI
Demoulini, Sophia; Stuart, David Adiabatic limit and the slow motion of vortices in a Chern-Simons-Schrödinger system. (English) Zbl 1185.81071 Commun. Math. Phys. 290, No. 2, 597-632 (2009). Reviewer: A. D. Osborne (Keele) MSC: 81Q05 35Q55 81V10 81V22 PDF BibTeX XML Cite \textit{S. Demoulini} and \textit{D. Stuart}, Commun. Math. Phys. 290, No. 2, 597--632 (2009; Zbl 1185.81071) Full Text: DOI arXiv
Huh, Hyungjin Blow-up solutions of modified Schrödinger maps. (English) Zbl 1139.35303 Commun. Partial Differ. Equations 33, No. 2, 235-243 (2008). MSC: 35A20 35Q55 35C05 PDF BibTeX XML Cite \textit{H. Huh}, Commun. Partial Differ. Equations 33, No. 2, 235--243 (2008; Zbl 1139.35303) Full Text: DOI
Demoulini, Sophia Global existence for a nonlinear Schrödinger-Chern-Simons system on a surface. (English) Zbl 1166.35035 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 24, No. 2, 207-225 (2007). Reviewer: Dian K. Palagachev (Bari) MSC: 35Q55 58J05 PDF BibTeX XML Cite \textit{S. Demoulini}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 24, No. 2, 207--225 (2007; Zbl 1166.35035) Full Text: DOI EuDML
Huh, Hyungjin Cauchy problem for the Fermion field equation coupled with the Chern-Simons gauge. (English) Zbl 1105.35058 Lett. Math. Phys. 79, No. 1, 75-94 (2007). MSC: 35L15 35Q40 81Q05 PDF BibTeX XML Cite \textit{H. Huh}, Lett. Math. Phys. 79, No. 1, 75--94 (2007; Zbl 1105.35058) Full Text: DOI
Huh, Hyungjin Local and global solutions of the Chern-Simons-Higgs system. (English) Zbl 1246.58009 J. Funct. Anal. 242, No. 2, 526-549 (2007). MSC: 58E15 35Q75 81T13 PDF BibTeX XML Cite \textit{H. Huh}, J. Funct. Anal. 242, No. 2, 526--549 (2007; Zbl 1246.58009) Full Text: DOI
Bergé, L.; de Bouard, A.; Saut, J.-C. Collapse of Chern-Simons-gauged matter fields. (English) Zbl 1020.81698 Phys. Rev. Lett. 74, No. 20, 3907-3911 (1995). MSC: 81T13 81V10 35Q55 PDF BibTeX XML Cite \textit{L. Bergé} et al., Phys. Rev. Lett. 74, No. 20, 3907--3911 (1995; Zbl 1020.81698) Full Text: DOI