Kang, Jin-Cai; Tang, Chun-Lei Ground states for Chern-Simons-Schrödinger system with nonperiodic potential. (English) Zbl 07637683 J. Fixed Point Theory Appl. 25, No. 1, Paper No. 37, 17 p. (2023). MSC: 35A15 35D30 35J61 PDF BibTeX XML Cite \textit{J.-C. Kang} and \textit{C.-L. Tang}, J. Fixed Point Theory Appl. 25, No. 1, Paper No. 37, 17 p. (2023; Zbl 07637683) Full Text: DOI OpenURL
Yang, Yanling; Wang, Tao; Guo, Hui Existence of sign-changing solutions for a gauged nonlinear Schrödinger equation with a quintic term. (English) Zbl 07635001 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 07635001) Full Text: DOI OpenURL
Li, Zexing; Liu, Baoping On threshold solutions of the equivariant Chern-Simons-Schrödinger equation. (English) Zbl 07664876 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 07664876) Full Text: DOI arXiv OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
Xu, Liping; Chen, Haibo Positive ground state solutions for the Chern-Simons-Schrödinger system. (English) Zbl 1485.35179 Anal. Math. Phys. 12, No. 2, Paper No. 45, 32 p. (2022). MSC: 35J47 35J61 35A01 PDF BibTeX XML Cite \textit{L. Xu} and \textit{H. Chen}, Anal. Math. Phys. 12, No. 2, Paper No. 45, 32 p. (2022; Zbl 1485.35179) Full Text: DOI OpenURL
Wan, Youyan; Tan, Jinggang Standing waves to Chern-Simons-Schrödinger systems with critical exponential growth. (English) Zbl 1497.35180 Electron. J. Differ. Equ. 2021, Paper No. 77, 14 p. (2021). MSC: 35J47 35J10 35A01 PDF BibTeX XML Cite \textit{Y. Wan} and \textit{J. Tan}, Electron. J. Differ. Equ. 2021, Paper No. 77, 14 p. (2021; Zbl 1497.35180) Full Text: Link OpenURL
Kang, Jincai; Tang, Chunlei Existence of nontrivial solutions to Chern-Simons-Schrödinger system with indefinite potential. (English) Zbl 1480.35163 Discrete Contin. Dyn. Syst., Ser. S 14, No. 6, 1931-1944 (2021). MSC: 35J47 35J91 35A01 35J20 PDF BibTeX XML Cite \textit{J. Kang} and \textit{C. Tang}, Discrete Contin. Dyn. Syst., Ser. S 14, No. 6, 1931--1944 (2021; Zbl 1480.35163) Full Text: DOI OpenURL
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 OpenURL
Kang, Jin-Cai; Li, Yong-Yong; Tang, Chun-Lei Sign-changing solutions for Chern-Simons-Schrödinger equations with asymptotically 5-linear nonlinearity. (English) Zbl 1465.35245 Bull. Malays. Math. Sci. Soc. (2) 44, No. 2, 711-731 (2021). MSC: 35J91 35J20 PDF BibTeX XML Cite \textit{J.-C. Kang} et al., Bull. Malays. Math. Sci. Soc. (2) 44, No. 2, 711--731 (2021; Zbl 1465.35245) Full Text: DOI OpenURL
Liang, Wenning; Zhai, Chengbo Solutions to a gauged Schrödinger equation with concave-convex nonlinearities without (AR) condition. (English) Zbl 1465.35141 Appl. Anal. 100, No. 6, 1286-1300 (2021). MSC: 35J10 35Q55 35A01 PDF BibTeX XML Cite \textit{W. Liang} and \textit{C. Zhai}, Appl. Anal. 100, No. 6, 1286--1300 (2021; Zbl 1465.35141) Full Text: DOI OpenURL
Mao, Yu; Wu, Xing-Ping; Tang, Chun-Lei Existence and multiplicity of solutions for asymptotically 3-linear Chern-Simons-Schrödinger systems. (English) Zbl 1459.35134 J. Math. Anal. Appl. 498, No. 1, Article ID 124939, 15 p. (2021). MSC: 35J47 35J62 35A01 35A15 PDF BibTeX XML Cite \textit{Y. Mao} et al., J. Math. Anal. Appl. 498, No. 1, Article ID 124939, 15 p. (2021; Zbl 1459.35134) Full Text: DOI OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
Chen, Haibo; Xie, Weihong Existence and multiplicity of normalized solutions for the nonlinear Chern-Simons-Schrödinger equations. (English) Zbl 1437.35286 Ann. Acad. Sci. Fenn., Math. 45, No. 1, 429-449 (2020). MSC: 35J60 35J20 35A01 PDF BibTeX XML Cite \textit{H. Chen} and \textit{W. Xie}, Ann. Acad. Sci. Fenn., Math. 45, No. 1, 429--449 (2020; Zbl 1437.35286) Full Text: DOI OpenURL
Xie, Weihong; Chen, Chen Sign-changing solutions for the nonlinear Chern-Simons-Schrödinger equations. (English) Zbl 1437.35319 Appl. Anal. 99, No. 5, 880-898 (2020). Reviewer: Huansong Zhou (Wuhan) MSC: 35J60 35J20 PDF BibTeX XML Cite \textit{W. Xie} and \textit{C. Chen}, Appl. Anal. 99, No. 5, 880--898 (2020; Zbl 1437.35319) Full Text: DOI OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
Li, Gongbao; Luo, Xiao; Shuai, Wei Sign-changing solutions to a gauged nonlinear Schrödinger equation. (English) Zbl 1375.35199 J. Math. Anal. Appl. 455, No. 2, 1559-1578 (2017). MSC: 35J61 PDF BibTeX XML Cite \textit{G. Li} et al., J. Math. Anal. Appl. 455, No. 2, 1559--1578 (2017; Zbl 1375.35199) Full Text: DOI OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
Wan, Youyan; Tan, Jinggang Standing waves for the Chern-Simons-Schrödinger systems without (AR) condition. (English) Zbl 1314.35174 J. Math. Anal. Appl. 415, No. 1, 422-434 (2014). MSC: 35Q55 35A15 35Q40 35Q82 PDF BibTeX XML Cite \textit{Y. Wan} and \textit{J. Tan}, J. Math. Anal. Appl. 415, No. 1, 422--434 (2014; Zbl 1314.35174) Full Text: DOI OpenURL
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 OpenURL
Huh, Hyungjin; Seok, Jinmyoung The equivalence of the Chern-Simons-Schrödinger equations and its self-dual system. (English) Zbl 1280.81042 J. Math. Phys. 54, No. 2, 021502, 5 p. (2013). MSC: 81Q05 58J20 81V70 PDF BibTeX XML Cite \textit{H. Huh} and \textit{J. Seok}, J. Math. Phys. 54, No. 2, 021502, 5 p. (2013; Zbl 1280.81042) Full Text: DOI OpenURL
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 OpenURL
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 OpenURL
Byeon, Jaeyoung; Huh, Hyungjin; Seok, Jinmyoung Standing waves of nonlinear Schrödinger equations with the gauge field. (English) Zbl 1248.35193 J. Funct. Anal. 263, No. 6, 1575-1608 (2012). MSC: 35Q55 35A15 35A01 PDF BibTeX XML Cite \textit{J. Byeon} et al., J. Funct. Anal. 263, No. 6, 1575--1608 (2012; Zbl 1248.35193) Full Text: DOI OpenURL