[1] Ambrosio A. A note on the boundedness of solutions for fractional relativistic Schrödinger equations. Bull Math Sci, 2022, 12: Art 2150010
[2] Blumenthal R, Getoor R. Some theorems on stable processes. Trans Amer Math Soc, 1960, 92: 263-273
[3] Caffarelli L, Silvestre L. An extension problem related to the fractional Laplacian. Comm Partial Differential Equations, 2007, 32: 1245-1260
[4] Cao D, Li S, Luo P. Uniqueness of positive bound states with multi-bump for nonlinear Schrödinger equations. Calc Var Partial Differential Equations, 2015, 54: 4037-4063
[5] Chang S, González M. Fractional Laplacian in conformal geometry. Adv Math, 2011, 226: 1410-1432
[6] Cheng M. Bound state for the fractional Schrödinger equation with unbounded potential. J Math Phys, 2012, 53: Art 043507
[7] Di Nezza E, Palatucci G, Valdinoci E. Hitchhiker's guide to the fractional Sobolev spaces. Bull Sci Math, 2012, 136: 521-573
[8] Du M, Tian L, Wang J, Zhang F. Existence of normalized solutions for nonlinear fractional Schrödinger equations with trapping potentials. Proc Roy Soc Edinburgh Sect A, 2019, 149: 617-653
[9] Du X, He X, Rădulescu V. Multiplicity of positive solutions for the fractional Schrödinger-Poisson system with critical nonlocal term. Bull Math Sci, 2024, 14: Art 2350012
[10] Felmer P, Quaas A, Tan J. Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian. Proc Roy Soc Edinburgh Sect A, 2012, 142: 1237-1262
[11] Frank R, Lenzmann E, Silvestre L. Uniqueness of radial solutions for the fractional Laplacian. Comm Pure Appl Math, 2016, 69: 1671-1726
[12] Guan W, Rădulescu V, Wang D. Bound states of fractional Choquard equations with Hardy-Littlewood-Sobolev critical exponent. J Differential Equations, 2023, 355: 219-247
[13] Guo H, Zhou H. Properties of the minimizers for a constrained minimization problem arising in Kirchhoff equation. Discrete Contin Dyn Syst, 2021, 41: 1023-1050
[14] Guo Q, Luo P, Wang C, Yang J.Concentrated solutions to fractional Schrödinger equations with prescribed $L^{2}$-norm. arXiv: 2105.01932v1
[15] Guo Y, Li S, Wei J, Zeng X. Ground states of two-component attractive Bose-Einstein condensates I: Existence and uniqueness. J Funct Anal, 2019, 276: 183-230
[16] Guo Y, Lin C, Wei J. Local uniqueness and refined spike profiles of ground states for two-dimensional attractive Bose-Einstein condensation. SIAM J Math Anal, 2017, 49: 3671-3715
[17] Guo Y, Nie J, Niu M, Tang Z. Local uniqueness and periodicity for the prescribed scalar curvature problem of fractional operator in $\mathbb{R}^{N}$. Calc Var Partial Differential Equations, 2017, 56: 1-41
[18] Guo Y, Wang Z, Zeng X, Zhou H. Properties of ground states of attractive Gross-Pitaevskii equations with multi-well potentials. Nonlinearity, 2018, 31: 957-979
[19] He X, Rădulescu V. Small linear perturbations of fractional Choquard equations with critical exponent. J Differential Equations, 2021, 282: 481-540
[20] He X, Rădulescu V, Zuo W. Normalized ground states for the critical fractional Choquard equation with a local perturbation. J Geom Anal, 2022, 32: Art 252
[21] Laskin N. Fractional quantum mechanics and Lévy path integrals. Phys Lett A, 2000, 268: 298-305
[22] Laskin N. Fractional Schrödinger equation. Phys Rev, 2002, 66: 56-108
[23] Li Y, Zhang B, Han X. Existence and concentration behavior of positive solutions to Schrödinger-Poisson-Slater equations. Adv Nonlinear Anal, 2023, 12: Art 20220293
[24] Liu L, Teng K, Yang J, Chen H.Concentration behaviour of normalized ground states of the mass critical fractional Schrödinger equations with ring-shaped potentials. Proc Roy Soc Edinburgh Sect A, 2023, 153: 1993-2024
[25] Liu Z, Rădulescu V, Tang C, Zhang J. Another look at planar Schrödinger-Newton systems. J Differential Equations, 2022, 328: 65-104
[26] Metzler R, Klafter J. The random walks guide to anomalous diffusion: a fractional dynamics approach. Phys Rep, 2000, 339: 1-77
[27] Ni W, Takagi I. On the shape of least-energy solutions to a semilinear Neumann problem. Comm Pure Appl Math, 1991, 44: 819-851
[28] Silvestre L. Regularity of the obstacle problem for a fractional power of the Laplace operator. Comm Pure Appl Math, 2007, 60: 67-112
[29] Sun J, Wu T. Bound state nodal solutions for the non-autonomous Schrödinger-Poisson system in $\mathbb{R}^{3}$. J Differential Equations, 2020, 268: 7121-7163
[30] Teng K. Existence of ground state solutions for the nonlinear fractional Schrödinger-Poisson system with critical Sobolev exponent. J Differential Equations, 2016, 261: 3061-3106
[31] Teng K, Agarwal R. Existence and concentration of positive ground state solutions for nonlinear fractional Schrödinger-Poisson system with critical growth. Math Methods Appl Sci, 2018, 41: 8258-8293
[32] Wang X, Chen F, Liao F. Existence and nonexistence of nontrivial solutions for the Schrödinger-Poisson system with zero mass potential. Adv Nonlinear Anal, 2023, 12: Art 20220319
[33] Wang Y, Zeng X, Zhou H. Asymptotic behavior of least energy solutions of a fractional laplacian eigenvalue problem on $\mathbb{R}^{N}$. Acta Math Sin (Engl Ser), 2023, 39: 707-727
[34] Yao S, Chen H, Rădulescu V, Sun J. Normalized solutions for lower critical Choquard equations with critical Sobolev perturbation. SIAM J Math Anal, 2022, 54: 3696-3723
[35] Zhang J, Bao X, Zhang J. Existence and concentration of solutions to Kirchhoff-type equations in $\mathbb{R}^{2}$ with steep potential well vanishing at infinity and exponential critical nonlinearities. Adv Nonlinear Anal, 2023, 12: Art 20220317
