[1] |
Adachi S, Watanabe T. Uniqueness of the ground state solutions of quasilinear Schrödinger equations. Nonlinear Anal, 2012, 75:819-833
|
[2] |
Adachi S, Watanabe T. Asymptotic uniqueness of ground states for a class of quasilinear Schrödinger equations with H1-supercritical exponent. J Differential Equations, 2016, 260:3086-3118
|
[3] |
Adachi S, Shibata M, Watanabe T. Global uniqueness results for ground states for a class of quasilinear elliptic equations. Kodai Math J, 2017, 40:117-142
|
[4] |
Bates P, Shi J. Existence and instability of spike layer solutions to singular perturbation problems. J Funct Anal, 2002, 196:429-482
|
[5] |
Berestycki H, Gallouët T, Kavian O. Equations de champs scalaires euclidens non linéaires dans le plan. C R Acad Paris Sér I Math, 1984, 297:307-310
|
[6] |
Berestycki H, Lions P L. Nonlinear scalar fields equations, I. Existence of a ground state. Arch Ration Mech Anal, 1983, 82:313-345
|
[7] |
Brizhik L, Eremko A, Piette B, Zahkrzewski W J. Static solutions of a D-dimensional modified nonlinear Schrödinger equation. Nonlinearity, 2003, 161481-1497
|
[8] |
Byeon J, Jeanjean L, Maris M. Symmetry and monotonicity of least energy solutions. Calc Var Partial Differential Equations, 2009, 36:481-492
|
[9] |
Chen J, Li Y, Wang Z Q. Stability of standing waves for a class of quasilinear Schrödinger equations. European J Appl Math, 2012, 23:611-633
|
[10] |
Coffman C V. Uniqueness of the ground state solution for △u-u+u3=0 and a variational characterization of other solutions. Arch Ration Mech Anal, 1972, 46:81-95
|
[11] |
Colin M, Jeanjean L, Squassina M. Stability and instability results for standing waves of quasi-linear Schrödinger equations. Nonlinearity, 2010, 23:1353-1385
|
[12] |
Colin M, Ohta M. Instability of ground states for a quasilinear Schrödinger equation. Differential Integral Equations, 2014, 27:613-624
|
[13] |
Cortázar C, Elgueta M, Felmer P. Uniqueness of positive solutions of △u + f(u)=0 in RN, N ≥ 3. Arch Ration Mech Anal, 1998, 142:127-141
|
[14] |
Floer A, Weinstein A. Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential. J Funct Anal, 1986, 69:397-408
|
[15] |
Gidas B, Ni W M, Nirenberg L. Symmetry of positive solutions of nonlinear elliptic equations in RN. Adv Math Suppl Stud, 1981, 7A:369-402
|
[16] |
Gladiali F, Squassina M. Uniqueness of ground states for a class of quasi-linear elliptic equations. Adv Nonlinear Anal, 2012, 1:159-179
|
[17] |
Hirata J, Ikoma N, Tanaka K. Nonlinear scalar field equations in RN:mountain pass and symmetric mountain pass approaches. Topol Methods Nonlinear Anal, 2010, 35:253-276
|
[18] |
Korman P. A global approach to ground state solutions. Electron J Differential Equations, 2008, 122:1-13
|
[19] |
Kurihara S. Large-amplitude quasi-solitons in superfluid films. J Phys Soc Japan, 1981, 50:3262-3267
|
[20] |
Kwong M K. Uniqueness of positive solutions of △u -u + up=0 in RN. Arch Ration Mech Anal, 1989, 105:243-266
|
[21] |
Mariş M. Existence of nonstationary bubbles in higher dimensions. J Math Pures Appl, 2002, 81:1207-1239
|
[22] |
Mcleod K. Uniqueness of positive radial solutions of △u+f(u)=0 in RN, Ⅱ. Trans Amer Math Soc, 1993, 339:495-505
|
[23] |
Mcleod K, Serrin J. Uniqueness of positive radial solutions of △u=f(u)=0 in RN. Arch Ration Mech Anal, 1987, 99:115-145
|
[24] |
Ni W M, Takagi I. Locating the peaks of least-energy solutions to a semilinear Neumann problem. Duke Math J, 1993, 70:247-281
|
[25] |
Ouyang T, Shi J. Exact multiplicity of positive solutions for a class of semilinear problems:Ⅱ. J Differential Equations, 1999, 158:94-151
|
[26] |
Peletier L A, Serrin J. Uniqueness of positive solutions of semilinear equations in Rn. Arch Ration Mech Anal, 1983, 81:181-197
|
[27] |
Peletier L A, Serrin J. Uniqueness of non-negative solutions of semilinear equations in Rn. J Differential Equations, 1986, 61:380-397
|
[28] |
Selvitella A. Nondegeneracy of the ground state for quasilinear Schrödinger equations. Calc Var Partial Differential Equations, 2015, 53:349-364
|
[29] |
Serrin J, Tang M. Uniqueness of ground states for quasilinear elliptic equations. Indiana Univ Math J, 2000, 49:897-923
|
[30] |
Stuart C. Lectures on the orbital stability of standing waves and applications to the nonlinear Schrödinger equation. Milan J Math, 2008, 76:329-399
|