广义拟线性Schrödinger方程的径向解
Radial Solutions for Generalized Quasilinear Schrödinger Equations
摘要: 利用ODE方法,本文讨论数学物理中一类广义拟线性Schrödinger方程径向解的存在性。
Abstract: By using the ODE method, we study the existence result of radial solutions for generalized quasi-linear Schrödinger equations arising from mathematical physics.
文章引用:李青, 姚仰新. 广义拟线性Schrödinger方程的径向解[J]. 理论数学, 2017, 7(3): 149-154. https://doi.org/10.12677/PM.2017.73018

参考文献

[1] Liu, J.Q. and Wang, Z.Q. (2002) Soliton Solutions for Quasilinear Schrödinger Equations I. Proceedings of the American Mathematical Society, 131, 441-448. [Google Scholar] [CrossRef
[2] Poppenberg, M., Schmitt, K. and Wang, Z.Q. (2002) On the Existence of Soliton Solutions to Quasilinear Schrödinger Equations. Calculus of Variations and Partial Differential Equations, 14, 329-344. [Google Scholar] [CrossRef
[3] Shen, Y.T. and Wang, Y.J. (2016) Standing Waves for a Class of Quasilinear Schrödinger Equations. Complex Variables and Elliptic Equations, 61, 817-842. [Google Scholar] [CrossRef
[4] Shen, Y.T. and Wang, Y.J. (2013) Soliton Solutions for Generalized Quasilinear Schrödinger Equations. Nonlinear Analysis: Theory, Methods & Applications, 80, 194-201. [Google Scholar] [CrossRef
[5] Sobolev, G. (1964) Non-Linear Differential Equations. Pergamon Press, Oxford.
[6] Kuzin, I. and Pohozaev, S. (1997) Entire Solutions of Semilinear Elliptic Equations. Birkhauser, Basel, Boston and Berlin.