References
- Berestycki H, Lions PL. Nonlinear scalar field equations, I existence of a ground state. Arch Ration Mech Anal. 1983;82:313–346.
- Strauss WA. Existence of solitary waves in higher dimensions. Commun Math Phys. 1977;55:149–162.
- Kurihara S. Large-amplitude quasi-solitons in superfluid films. J Phys Soc Japan. 1981;50:3262–3267.
- Borovskii AV, Galkin AL. Dynamic modulation of an ultrashort high-intensity laser pulse in matter. JETP. 1993;77:562–573.
- Brandi HS, Manus C, Mainfray G, et al. Relativistic and ponderomotive self-focusing of a laser beam in a radially inhomogeneous plasma. Phys Fluids B. 1993;5:3539–3550.
- Ritchie B. Relativistic self-focusing and channel formation in laser-plasma interactions. Phys Rev E. 1994;50:687–689.
- Porkolab M, Goldman MV. Upper-hybrid solitons and oscillating-two-stream instabilities. Phys Fluids. 1976;19:872–881.
- Bass FG, Nasonov NN. Nonlinear electromagnetic-spin waves. Phys Rep. 1990;189:165–223.
- Quispel GRW, Capel HW. Equation of motion for the Heisenberg spin chain. Physica A. 1982;110:41–80.
- Takeno S, Homma S. Classical planar Heisenberg ferromagnet, complex scalar field and nonlinear excitations. Prog Theor Phys. 1981;65:172–189.
- Hasse RW. A general method for the solution of nonlinear soliton and kink Schrödinger equation. Z Phys B. 1980;37:83–87.
- Makhankov VG, Fedyanin VK. Nonlinear effects in quasi-one-dimensional models of condensed matter theory. Phys Rep. 1984;104:1–86.
- Bezerra do Ó JM, Miyagaki OH, Soares SHM. Soliton solutions for quasilinear Schrödinger equations with critical growth. J Differ Equ. 2010;248:722–744.
- Colin M, Jeanjean L. Solutions for a quasilinear Schrödinger equation: a dual approach. Nonlinear Anal. 2004;56:213–226.
- Liu J, Wang Y, Wang Z. Soliton solutions for quasilinear Schrödinger equations. II. J Differ Equ. 2003;187:473–493.
- Aires JFL, Souto MAS. Existence of solutions for a quasilinear Schrödinger equation with vanishing potential. J Math Anal Appl. 2014;416:924–946.
- Chen C, Yang H. Multiple solutions for a class of quasilinear Schrödinger systems in RN. Bull Malays Math Sci Soc. 2017;42:611–636.
- Deng Y, Peng S, Wang J. Nodal solutions for a quasilinear elliptic equation involving the p-Laplacian and critical exponents. Adv Nonlinear Stud. 2017;18:17–40.
- Severo U. Existence of weak solutions for quasilinear elliptic equations involving the p-Laplacian. Electron J Differ Equ. 2008;56:1–16.
- Pucci P, Serrin J. A general variational identity. Indiana Univ Math J. 1986;35:681–703.
- Liu J, Wang Y, Wang Z. Solutions for quasilinear Schrödinger equations via the Nehari method. Commun Partial Differ Equ. 2004;29:879–901.
- Poppenberg M, Schmitt K, Wang Z. On the existence of soliton solutions to quasilinear Schrödinger equations. Calc Var Partial Differ Equ. 2002;14:329–344.
- Do Ó JM, Severo U. Solitary waves for a class of quasilinear Schrödinger equations in dimension two. Calc Var. 2010;38:275–315.
- Liu J, Wang Z. Soliton solutions for quasilinear Schrödinger equations. I. Proc Am Math Soc. 2003;131:441–448.
- Saeedi G, Waseel F, Jalal H. Existence of solutions for a class of quasilinear elliptic equations with a parameter. Commun Pure Appl Anal. 2022;21:3193–3211.
- Willem M. Minimax theorems. Boston, MA: Birkhäuser; 1996.
- Lions PL. The concentration-compactness principle in the calculus of variations. The locally compact case, part II. Ann Inst H Poincaré Anal Non Linéaire. 1984;1:223–283.
- Alves CO, Souto MAS. Existence of solutions for a class of nonlinear Schrödinger equations with potential vanishing at infinity. J Differ Equ. 2013;254:1977–1991.
- Jeanjean L, Tanaka K. A remark on least energy solutions in RN. Proc Am Math Soc. 2003;131:2399–2408.
- Do Ó JM, Medeiros ES. Remarks on least energy solutions for quasilinear elliptic problems in RN. Electron J Differ Equ. 2003;83:1–14.