References
- [1] P. D’Ancona, S. Spagnolo, Global solvability for the degenerate Kirchhoff equation with real analytic data. Invent. Math. 108 (1992) 247-262.
- [2] A. Arosio, S.Panizzi, On the well-posedness of the Kirchhoff string. Trans. Am. Math. Soc. 348 (1996) 305-330.10.1090/S0002-9947-96-01532-2
- [3] A. Azzollini, A note on the elliptic Kirchhoff equation in ℝN perturbed by a local nonlinearity. Commun. Contemp. Math. 17 (2015) 1450039.
- [4] T. Bartsch, Y. Y. Liu, Z. L. Liu, Normalized solutions for a class of nonlinear Choquard equations. Partial Differ. Equ. Appl. 1 (2020), no. 5, Paper No. 34, 25 pp.10.1007/s42985-020-00036-w
- [5] M. M. Cavalcanti, V. N. D. Cavalcanti, J.A. Soriano, Global existence and uniform decay rates for the Kirchhoff-Carrier equation with noninear dissipation. Adv. Differ. Equ. 6 (2001) 701-730.
- [6] S. T. Chen, V. D. Rădulescu, X.H. Tang, Normalized Solutions of Nonautonomous Kirchhoff Equations: Sub- and Super-critical Cases. Applied Mathematics and Optimization. 2 (2020).10.1007/s00245-020-09661-8
- [7] S. T. Chen, X. H. Tang, Berestycki-Lions conditions on ground state solutions for a nonlinear Schrödinger equation with variable potentials. Adv. Nonlinear Anal. 9 (2010) 496-515.
- [8] Y. B. Deng, S. J. Peng, W. Shuai, Existence and asymptotic behavior of nodal solutions for the Kirchhoff-type problems in ℝ3. J. Funct. Anal. 269 (2015) 3500-3527.
- [9] G. Z. Gu, Z. P. Yang, On the singularly perturbation fractional Kirchhoff equations: critical case. Adv. Nonlinear Anal. 11 (2022) 1097-1116.10.1515/anona-2022-0234
- [10] H. L. Guo, Y. M. Zhang, H. S. Zhou, Blow-up solutions for a Kirchhoff type elliptic equations with trapping potential. Commun. Pure Appl. Anal. 17 (2018) 875-897.
- [11] Q. H. He, Z. Y. Lv, Y. M. Zhang, X. X. Zhong, Positive normalized solution to the Kirchhoff equation with general nonlinearities of mass super-critical. arXiv:2110.12921.
- [12] W. He, D. D. Qin, Q. F. Wu, Existence, multiplicity and nonexistence results for Kirchhoff type equations. Adv. Nonlinear Anal. 10 (2021) 616-635.
- [13] T. X. Hu, C. L. Tang, Limiting behavior and local uniqueness of normalized solutions for mass critical Kirchhoff equations. Calc. Var. 60 210 (2021). https://doi.org/10.1007/s00526-021-02018-1.10.1007/s00526-021-02018-1
- [14] G. Kirchhoff, Vorlesungenüber Mechanik, Birkh¨auser. Basel, 1883.
- [15] G. B. Li, H. Y. Ye, Existence of positive ground state solutions for the nonlinear Kirchhoff type equations in ℝ3.J.Differ.Equ. 257 (2014) 566-600.
- [16] G. B. Li, X. Luo, Existence and multiplicity of normalized solutions for a class of fractional Choquard equations. Sci. China Math. 63 (2020) 539-558.
- [17] J. L. Lions, On some questions in boundary value problems of mathematical physics, in: Contemporary Developments in Continuum Mechanics and Partial Differential Equations (Rio de Janeiro 1977). North-Holland Math. Stud. 30 North-Holland, Amsterdam (1978) 284-346.
- [18] Z. Liu, Multiple normalized solutions for Choquard equations involving Kirchhoff type perturbation. Topol. Methods Nonlinear Anal. 54 (2019) 297-319.
- [19] X. Luo, Q. F. Wang, Existence and asymptotic behavior of high energy normalized solutions for the Kirchhoff type equations in ℝ3. Nonlinear Anal: RWA. 33 (2017) 19-32.
- [20] S. J. Qi, Normalized solutions for the Kirchhoff equation on noncompact metric graphs. Nonlinearity. 34 (2021) 6963-7004.
- [21] X. H. Tang, S. T. Chen, Ground state solutions of Nehari-Pohožaev type for Schrödinger-Poisson problems with general potentials. Discrete Contin. Dyn. Syst. 37 (2017) 4973-5002.
- [22] X. H. Tang, S. T. Chen, Singularly perturbed Choquard equations with nonlinearity satisfying Berestycki-Lions assumptions. Adv. Nonlinear Anal. 9 (2020) 413-437.
- [23] M. Willem, Minimax Theorems. Progress in Nonlinear Differential Equations and their Applications. vol. 24 Birkh¨auser Boston Inc. Boston (1996).
- [24] M. Q. Xiang, B. L. Zhang, V. D. Rădulescu, Superlinear Schrödinger-Kirchhoff type problems involving the fractional p-Laplacian and critical exponent. Adv. Nonlinear Anal. 9 (2020) 690-709.
- [25] W. H. Xie, H. B. Chen, Existence and multiplicity of normalized solutions for nonlinear Kirchhoff-type problems. Comput. Math. Appl. 76 (2018) 579-591.
- [26] H. Y. Ye, The sharp existence of constrained minimizers for a class of nonlinear Kirchhoff equations. Math. Methods Appl. Sci. 38 (2015) 2663-2679.
- [27] H. Y. Ye, The existence of normalized solutions for L2-critical constrained problems related to Kirchhoff equations. Z. Angew. Math. Phys. 66 (2015) 1483-1497.
- [28] H. Y. Ye, The mass concentration phenomenon for L2-critical constrained problems related to Kirchhoff equations. Zeitschrift Für Angewandte Mathematik Und Physik. 67(2) (2016).10.1007/s00033-016-0624-4
- [29] S. Yuan, S. T. Chen, X. H. Tang, Normalized solutions for Choquard equations with general nonlinearities. Electron. Res. Arch. 28 (2020) 291-309.
- [30] X. Y. Zeng, J. J. Zhang, Y. M. Zhang, X. X. Zhong, Positive normalized solution to the Kirchhoff equation with general nonlinearities. arXiv:2112.10293.
- [31] J. Zhang, W. Zhang, Semiclassical states for coupled nonlinear Schrödinger system with competing potentials, J. Geom. Anal. 32 (2022) 114.
- [32] J. Zhang, W. Zhang, X. Tang, Ground state solutions for Hamiltonian elliptic system with inverse square potential, Discrete Contin. Dyn. Syst., 37 (2017) 4565-4583.
- [33] J. Zhang, W. Zhang, X. Xie, Infinitely many solutions for a gauged nonlinear Schrödinger equation, Applied Mathematics Letters, 88 (2019) 21-27.