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一类拟线性椭圆方程的规范基态解
Normalized Ground State Solution for a Class of Quasilinear Elliptic Equations

DOI: 10.12677/aam.2024.135180, PP. 1927-1932

Keywords: 拟线性椭圆方程,规范基态解,变分方法
Quasilinear Elliptic Equation
, Normalized Ground State Solution, Variational Methods

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Abstract:

本文研究了拟线性椭圆方程
We study the quasilinear elliptic equation

References

[1]  Kurihara, S. (1981) Large-Amplitude Quasi-Solitons in Superfluid Films. Journal of the Physical Society of Japan, 50, 3262-3267.
https://doi.org/10.1143/JPSJ.50.3262
[2]  Makhankov, V. and Fedyanin V. (1984) Non-Linear Effects in Quasi-One-Dimensional Models of Condensed Matter Theory. Physics Reports, 104, 1-86.
https://doi.org/10.1016/0370-1573(84)90106-6
[3]  Quispel, G. and Capel, H. (1982) Equation of Motion for the Heisenberg Spin Chain. Physica A: Statistical Mechanics and its Applications, 110, 41-80.
https://doi.org/10.1016/0378-4371(82)90104-2
[4]  Liu, J. and Wang, Z.-Q. (2003) Soliton Solutions for Quasilinear Schr?dinger Equations, I. Proceedings of the American Mathematical Society, 131, 441-448.
https://doi.org/10.1090/S0002-9939-02-06783-7
[5]  Ruiz, D. and Siciliano, G. (2010) Existence of Ground States for a Modified Nonlinear Schr?dinger Equation. Nonlinearity, 23, 1221-1233.
https://doi.org/10.1088/0951-7715/23/5/011
[6]  Colin, M. and Jeanjean, L. (2004) Solutions for a Quasilinear Schr?dinger Equation: A Dual Approach. Nonlinear Analysis, 56, 213-226.
https://doi.org/10.1016/j.na.2003.09.008
[7]  Liu, J., Wang, Y. and Wang, Z.-Q. (2003) Soliton Solutions for Quasilinear Schr?dinger Equations, II. Journal of Differential Equations, 187, 473-493.
https://doi.org/10.1016/S0022-0396(02)00064-5
[8]  Liu, J., Wang, Y. and Wang, Z.-Q. (2004) Solutions for Quasilinear Schr?dinger Equations via the Nehari Method. Communications in Partial Differential Equations, 29, 879-901.
https://doi.org/10.1081/PDE-120037335
[9]  Liu, X., Liu, J. and Wang, Z.-Q. (2013) Quasilinear Elliptic Equations via Perturbation Method. Proceedings of the American Mathematical Society, 141, 253-263.
https://doi.org/10.1090/S0002-9939-2012-11293-6
[10]  Jing, Y and Liu, H. (2022) Sign-Changing Solutions for a Modified Nonlinear Schr?dinger Equation in . Calculus of Variations and Partial Differential Equations, 61, 144.
https://doi.org/10.1007/s00526-022-02266-9
[11]  Colin, M., Jeanjean, L. and Squassina, M. (2010) Stability and Instability Results for Standing Waves of Quasi-Linear Schr?dinger Equations. Nonlinearity, 23, 1353-1385.
https://doi.org/10.1088/0951-7715/23/6/006
[12]  Zhang, L., Li, Y. and Wang, Z.-Q. (2023) Multiple Normalized Solutions for a Quasi-Linear Schr?dinger Equation via Dual Approach. Topological Methods in Nonlinear Analysis, 61, 465-489.
https://doi.org/10.12775/TMNA.2022.052
[13]  Ye, H. and Yu, Y. (2021) The Existence of Normalized Solutions for L2-Critical Quasilinear Schr?dinger equations. Journal of Mathematical Analysis and Applications, 497, Article ID: 124839.
https://doi.org/10.1016/j.jmaa.2020.124839
[14]  Jeanjean, L. and Luo, T. (2013) Sharp Nonexistence Results of Prescribed L2-Norm Solutions for Some Class of Schr?dinger-Poisson and Quasi-Linear Equations. Zeitschrift für angewandte Mathematik und Physik, 64, 937-954.
https://doi.org/10.1007/s00033-012-0272-2
[15]  Jeanjean, L. and Luo, T. and Wang, Z.-Q. (2015) Multiple Normalized Solutions for Quasi-Linear Schr?dinger Equations. Journal of Differential Equations, 259, 3894-3928.
https://doi.org/10.1016/j.jde.2015.05.008
[16]  Li, H. and Zou, W. (2023) Quasilinear Schr?dinger Equations: Ground State and Infinitely Many Normalized Solutions. Pacific Journal of Mathematics, 322, 99-138.
https://doi.org/10.2140/pjm.2023.322.99
[17]  Zhang, L., Chen, J. and Wang, Z-Q. (2023) Ground States for a Quasilinear Schr?dinger Equation: Mass Critical and Supercritical Cases. Applied Mathematics Letters, 145, Article ID: 108763.
https://doi.org/10.1016/j.aml.2023.108763
[18]  Agueh, M. (2008) Sharp Gagliardo-Nirenberg Inequalities via p-Laplacian Type Equations. Nonlinear Differential Equations and Applications NoDEA, 15, 457-472.
https://doi.org/10.1007/s00030-008-7021-4

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