[
[1] D. Applebaum, Lévy processes from probability to finance and quantum groups. Not. Am. Math. Soc. 51, 1336-1347 (2004).
]Search in Google Scholar
[
[2] G. Barles, E. Chasseigne, C. Imbert, Hölder continuity of solutions of second-order nonlinear elliptic integro-differential equations. J. Eur. Math. Soc. 13, 1-26 (2011).
]Search in Google Scholar
[
[3] T. Bartsch, T. Weth, Three nodal solutions of singularly perturbed elliptic equations on domains without topology. Ann. Inst. H. Poincaré Anal. Non Linéaire, 22 (3), 259-281 (2005).10.1016/j.anihpc.2004.07.005
]Search in Google Scholar
[
[4] T. Bartsch, T. Weth, M. Willem, Partial symmetry of least energy nodal solutions to some variational problems, J. Anal. Math. 96, 118 (2005).
]Search in Google Scholar
[
[5] T. Bartsch, Z. Liu, T. Weth, Sign changing solutions of superlinear Schrödinger equations. Comm. Partial Differential Equations, 29 (12), 25-42 (2004).10.1081/PDE-120028842
]Search in Google Scholar
[
[6] L. Caffarelli, Some nonlinear problems involving non-local diffusions, in: ICIAM 07-6th International Congress on Industrial and Applied Mathematics, Eur. Math. Soc., Zürich, 43-56 (2009).
]Search in Google Scholar
[
[7] L. Caffarelli, Nonlocal diffusions, drifts and games, in: Nonlinear Partial Differential Equations. Abel Symposia, 7, 37-52 (2012).10.1007/978-3-642-25361-4_3
]Search in Google Scholar
[
[8] K. Cheng, Q. Gao, Sign-changing solutions for the stationary Kirchhoff problems involving the fractional Laplacian in ℝN, Acta Math Sci. 38B(6), 1712-1730 (2018).10.1016/S0252-9602(18)30841-5
]Search in Google Scholar
[
[9] A. Esfahani, Existence of solutions of class of nonlinear nonlocal problems involving the potential. Chaos, Solitons and Fractals, 119, 1-7 (2019).10.1016/j.chaos.2018.12.013
]Search in Google Scholar
[
[10] A. Esfahani, Anisotropic Gagliardo-Nirenberg inequality with fractional derivatives. Z. Angew. Math. Phys. 66, 3345-3356 (2015).10.1007/s00033-015-0586-y
]Search in Google Scholar
[
[11] A. Farina, E. Valdinoci, Regularity and rigidity theorems for a class of anisotropic nonlocal operators. Manuscr. Math. 153, 53-70 (2017).
]Search in Google Scholar
[
[12] A. Fiscella, E. Valdinoci, A critical Kirchhoff type problem involving a nonlocal operator. Nonlinear Anal. 94, 156-170 (2014).
]Search in Google Scholar
[
[13] R.L. Frank, E. Lenzmann, Uniqueness and nondegeneracy of ground states for (−Δ)sq + q − qα+1 = 0 in ℝ. Acta Math. 210, 261318 (2013).
]Search in Google Scholar
[
[14] T.X. Gou, H.R. Sun, Solutions of nonlinear Schrödinger equation with fractional Laplacian without the AR condition. Appl. Math. Comput. 257, 409-416 (2015).
]Search in Google Scholar
[
[15] T. Isernia, Sign-changing solutions for a fractional Kirchhoff equation. Nonlinear. Anal. 190111623 (2020).10.1016/j.na.2019.111623
]Search in Google Scholar
[
[16] G. Kirchhoff, Vorlesungen uber Mechanik. 3rd Edn., Teubner, Leipzig (1883).
]Search in Google Scholar
[
[17] N. Laskin, Fractional quantum mechanics and Lévy path integrals. Phys. Lett. 268,298-305 (2000).10.1016/S0375-9601(00)00201-2
]Search in Google Scholar
[
[18] M. Massar, Infinitely many radial solutions for a nonlocal equation involving an anisotropic operator, J. Nonlinear Funct. Anal. 2020 (2020). https://doi.org/10.23952/jnfa.2020.29.10.23952/jnfa.2020.29
]Search in Google Scholar
[
[19] M. Massar, On a class of Kirchhoff equations involving an anisotropic operator and potential. Arab. J. Math. (2020). https://doi.org/10.1007/s40065-020-00304-y.10.1007/s40065-020-00304-y
]Search in Google Scholar
[
[20] M. Massar, M. Talbi, On a class of p-fractional Laplacian equations with potential depending on parameter. Math. Meth. Appl. Sci. 43, 2721-2734 (2020).
]Search in Google Scholar
[
[21] L. Medeiros, J. Limaco, S. Menezes, Vibrations of elastic strings: Mathematical aspects, Part one, J. Comput. Anal. Appl. 4 (2) 91-127 (2002).
]Search in Google Scholar
[
[22] X. Mingqi, V.D. Rădulescu, B.L. Zhang, Combined effects for fractional Schrödinger-Kirchhoff systems with critical nonlinearities. ESAIM Control Optim. Calc. Var. 24, 1249-1273 (2018).
]Search in Google Scholar
[
[23] C. Miranda, Un’osservazione su un teorema di Brouwer. Boll Un Mat Ital. 3, 5-7 (1940).
]Search in Google Scholar
[
[24] N. Pan, B. Zhang, J. Cao, Degenerate Kirchhoff-type diffusion problems involving the fractional p-Laplacian, Nonlinear Anal. Real World Appl., 37, 56-70 (2017)
]Search in Google Scholar
[
[25] F. Ribaud, S. Vento, Local and global well-posedness results for the Benjamin-Ono-Zakharov-Kuznetsov equation. Discrete Contin. Dyn. Syst. 37, 449-483 (2017).
]Search in Google Scholar
[
[26] L. Shao, H. Chen, Existence and concentration result for a class of fractional Kirchhoff equations with Hartree-type nonlinearities and steep potential well. C. R. Acad. Sci. Paris, Ser. I, 356, 489-497 (2018).
]Search in Google Scholar
[
[27] Y. Wei, X. Su, Multiplicity of solutions for non-local elliptic equations drivenby the fractional Laplacian. Calc. Var. Partial Diferential Equations, 52, 95-124 (2015).10.4208/jpde.v28.n2.1
]Search in Google Scholar
[
[28] M. Willem, Minimax Theorems, Birkhäuser, Basel, (1996).10.1007/978-1-4612-4146-1
]Search in Google Scholar
