References
- Byeon J, Huh H, Seok J. Standing waves of nonlinear Schrödinger equations with the gauge field. J Funct Anal. 2012;263(6):1575–1608. doi: https://doi.org/10.1016/j.jfa.2012.05.024
- Byeon J, Huh H, Seok J. On standing waves with a vortex point of order N for the nonlinear Chern–Simons–Schrödinger equations. J Differ Equ. 2016;261(2):1285–1316. doi: https://doi.org/10.1016/j.jde.2016.04.004
- Chen S, Zhang B, Tang X. Existence and concentration of semiclassical ground state solutions for the generalized Chern–Simons–Schrödinger system in H1(R2). Nonlinear Anal. 2019;185:68–96. doi: https://doi.org/10.1016/j.na.2019.02.028
- Chen Z, Tang X, Zhang J. Sign-changing multi-bump solutions for the Chern–Simons–Schrödinger equations in R2. Adv Nonlinear Anal. 2020;9(1):1066–1091. doi: https://doi.org/10.1515/anona-2020-0041
- Cunha P, d'Avenia P, Pomponio A, et al. A multiplicity result for Chern–Simons–Schrödinger equation with a general nonlinearity. NoDEA Nonlinear Differ Equ Appl. 2015;22(6):1831–1850. doi: https://doi.org/10.1007/s00030-015-0346-x
- d'Avenia P, Pomponio A. Standing waves of modified Schrödinger equations coupled with the Chern–Simons gauge theory. Proc Roy Soc Edinburgh Sect A. 2019;1–22. Available from: https://doi.org/https://doi.org/10.17/prm.2019.9
- Huh H. Standing waves of the Schrödinger equation coupled with the Chern–Simons gauge field. J Math Phys. 2012;53(6):063702. pp. 8. doi: https://doi.org/10.1063/1.4726192
- Huh H. Energy solution to the Chern–Simons–Schrödinger equations. Abstr Appl Anal. 2013; Art. ID 590653, 7 pp
- Ruiz D, Siciliano G. Existence of ground states for a modified nonlinear Schrödinger equation. Nonlinearity. 2010;23(5):1221–1233. doi: https://doi.org/10.1088/0951-7715/23/5/011
- Wan Y, Tan J. Standing waves for the Chern–Simons–Schrödinger systems without (AR) condition. J Math Anal Appl. 2014;415(1):422–434. doi: https://doi.org/10.1016/j.jmaa.2014.01.084
- Wan Y, Tan J. The existence of nontrivial solutions to Chern–Simons–Schrödinger systems. Discrete Contin Dyn Syst. 2017;37(5):2765–2786. doi: https://doi.org/10.3934/dcds.2017119
- Zhang J, Zhang W, Xie X. Infinitely many solutions for a gauged nonlinear Schrödinger equation. Appl Math Lett. 2019;88:21–27. doi: https://doi.org/10.1016/j.aml.2018.08.007
- Shen L. Ground state solutions for a class of gauged Schrödinger equations with subcritical and critical exponential growth. Math Methods Appl Sci. 20191–16. Available from: https://doi.org/https://doi.org/10.1002/mma.5905
- Wu K, Wu X. Radial solutions for quasilinear Schrödinger equations without 4-superlinear condition. Appl Math Lett. 2018;76:53–59. doi: https://doi.org/10.1016/j.aml.2017.07.007
- Yang M. Existence of solutions for a quasilinear Schrödinger equation with subcritical nonlinearities. Nonlinear Anal. 2012;75(13):5362–5373. doi: https://doi.org/10.1016/j.na.2012.04.054
- Zhang J, Lin X, Tang X. Ground state solutions for a quasilinear Schrödinger equation. Mediterr J Math. 2017;14(2): paper no. 84, 13pp. doi: https://doi.org/10.1007/s00009-016-0816-3
- Liu J, Wang Y, Wang Z. Solition solutions for quasilinear Schrödinger equations, II. J Differ Equ. 2003;187(2):473–493. doi: https://doi.org/10.1016/S0022-0396(02)00064-5
- Colin M, Jeanjean L. Solutions for a quasilinear Schrödinger equation: a dual approach. Nonlinear Anal. 2004;56(2):213–226. doi: https://doi.org/10.1016/j.na.2003.09.008
- Jeanjean L. On the existence of bounded Palais–Smale sequences and application to a Landesman-Lazer-type problem set on RN. Proc Roy Soc Edinburgh Sect A. 1999;129(4):789–809. doi: https://doi.org/10.1017/S0308210500013147