[1] A. Aberqi, J. Bennouna, O. Benslimane, and M. A. Ragusa, Existence results for double phase problem in Sobolev-Orlicz spaces with variable exponents in complete manifold, Mediterr. J. Math. 19 (2022), no. 158.
[2] C.O. Alves and G.M. Figueiredo, Multiplicity of positive solutions for a quasilinear problem in RN via penalization method, Adv. Nonlinear Stud. 5 (2005), no. 4, 551–572.
[3] V. Ambrosio and T. Isernia, A multiplicity result for a (p, q)-Schrodinger-Kirchhoff type equation, Ann. Mat. Pura Appl. 201 (2022), no. 2, 943–984.
[4] V. Ambrosio and D. Repovs, Multiplicity and concentration results for a (p, q)-Laplacian problem in RN, Z. Angew. Math. Phys. 72 (2021), 1–33.
[5] A. Arosio and S. Panizzi, On the well-posedness of the Kirchhoff string, Trans. Amer. Math. Soc. 348 (1996), no. 1, 305–330.
[6] E. Azroul, A. Benkirane, and M. Srati, Three solutions for a Schrodinger-Kirchhoff type equation involving nonlocal fractional integro-defferential operators, J. Pseudo-Differ. Oper. Appl. 11 (2020), 1915–1932.
[7] F. Behboudi, A. Razani, and M. Oveisiha, Existence of a mountain pass solution for a nonlocal fractional (p, q)-Laplacian problem, Boundary Value Problems 2020 (2020), no. 1, 149.
[8] H. Brezis, Functional Analysis, Sobolev Spaces and Partial Differential Equations, Universitext. Springer, New York, 2011.
[9] O. Benslimane, A. Aberqi, and J. Bennouna, Existence results for double phase obstacle problems with variable exponents, J. Elliptic Parabol. Equ. 7 (2021), 875–890
[10] M. Cencelj, V.D. Radulescu, and D.D. Repovs, Double phase problems with variable growth, Nonlinear Anal. 177 (2018), 270–287.
[11] M. Del Pino and P. L. Felmer, Local mountain passes for semilinear elliptic problems in unbounded domains, Calc. Var. Partial Differ. Equ. 4 (1996), no. 2, 121–137.
[12] G.M. Figueiredo, Existence of positive solutions for a class of p&q elliptic problems with critical growth on RN, J. Math. Anal. Appl. 378 (2011), no. 2, 507–518.
[13] G.M. Figueiredo and M.F. Furtado, Positive solutions for a quasilinear Schrodinger equation with critical growth, J. Dyn. Differ. Equ. 24 (2012), no. 1, 13–28.
[14] A. Floer and A. Weinstein, Nonspreading wave packets for the cubic Schrodinger equation with a bounded potential, J. Funct. Anal. 69 (1986), no. 3, 397–408.
[15] J.R. Graef, S. Heidarkhani, and L. Kong, A variational approach to a Kirchhoff type problem involving two parameters, Results Math. 63 (2013), no. 3-4, 877–889.
[16] C. He and G. Li, The regularity of weak solutions to nonlinear scalar field elliptic equations containing p&q-Laplacians, Ann. Acad. Sci. Fenn. Math. 33 (2008), no. 2, 337–371.
[17] C. He and G. Li, The existence of a nontrivial solution to the p&q-Laplacian problem with nonlinearity asymptotic to up−1 at infinity in RN, Nonlinear Anal. 68 (2008), no. 5, 1100–1119.
[18] G. Kirchhoff, Mechanik, Teubner, Leipzig, Germany, 1883.
[19] C.E.T. Ledesma, Existence and symmetry result for fractional p-Laplacian in RN, Commun. Pure Appl. Anal. 16 (2017), no. 1, 99–114.
[20] W. Liu and G. Dai, Three ground state solutions for double phase problem, J. Math. Phys. 59 (2018), no. 12, 121503.
[21] D. Motreanu and A. Razani, Competing anisotropic and Finsler (p, q)-Laplacian problems, Bound. Value Probl. 2024 (2024), 39.
[22] D. Mugnai and N.S. Papageorgiou, Wang’s multiplicity result for superlinear (p, q)-equations without the Ambrosetti[1]Rabinowitz condition, Trans. Amer. Math. Soc. 366 (2014), no. 9, 4919–4937.
[23] N.S. Papageorgiou, V.D. Radulescu, and D.D. Repovs, Double-phase problems with reaction of arbitrary growth, Z. Angew. Math. Phys. 69 (2018), 108.
[24] P. Rabinowitz, On a class of nonlinear Schrodinger equations, Z. Angew. Math. Phys. 43 (1992), no. 2, 270–291.
[25] M.A. Ragusa, A. Razani, and F. Safari, Existence of positive radial solutions for a problem involving weighted Heisenberg p(·)-Laplacian operator, AIMS Math. 8 (2023), no.1, 404–422.
[26] M.A. Ragusa, A. Razani, and F. Safari, Existence of radial solutions for a p(x)-Laplacian Dirichlet problem, Adv. Differ. Equ. 2021 (2021), 215.
[27] A. Razani, Horizontal p-Kirchhoff equation on the Heisenberg group, Bull. Des Sci. Math. 193 (2024), 103439.
[28] A. Razani, Nonstandard competing anisotropic (p, q)-Laplacians with convolution, Bound. Value Probl. 2022 (2022), 87.
[29] A. Razani and G.M. Figueiredo, Degenerated and competing horizontal (p, q)-Laplacians with weights on the Heisenberg group, Numer. Funct. Anal. Optim. 44 (2023), no. 3, 179–201.
[30] A. Razani and G.M. Figueiredo, A positive solution for an anisotropic (p, q)-Laplacian, Discrete Contin. Dyn. Syst. Ser. S 16 (2023), no. 6, 1629–1643.
[31] A. Razani and F. Safari, Existence of solutions for a (p, q)-Laplace equation with Steklov boundary conditions, Int. J. Nonlinear Anal. Appl. 14 (2022), no. 7, 119-122.
[32] B. Ricceri, A general variational principle and some of its applications, J. Comput. Appl. Math. 113 (2000), no. 1-2, 401–410.
[33] B. Ricceri, On three critical points theorem, Arch. Math. (Basel) 75 (2000), 220–226.
[34] B. Ricceri, A three critical points theorem revisited, Nonlinear Anal. 70 (2009), no. 9, 3084–3089.
[35] B. Ricceri, A further three critical points theorem, Nonlinear Anal. 71 (2009), no. 9, 4151–4157.
[36] R. Stegli`nski, Infinitely many solutions for double phase problem with unbounded potential in RN, Nonlinear Anal. 214 (2022), 112580.
[37] Z. Yuan and L. Huang, Non-smooth extension of a three critical points theorem by Ricceri with an application to p(x)-Laplacian differential inclusions, Electron. J. Differ. Equ. 2015 (2015), no. 232, 1–16.
[38] E. Zeidler, Nonlinear Functional Analysis and Applications: Nonlinear Monotone Operators, vol. II/B. Springer, New York, 1990.
[39] W. Zhang, J. Zuo, and P. Zhao, Multiplicity and Concentration of Positive Solutions for (p, q)-Kirchhoff Type Problems, J. Geom. Anal. 33 (2023), 159.
[40] V.V. Zhikov, Averaging of functionals of the calculus of variations and elasticity theory, Izv. Akad. Nauk. SSSR Ser. Mat. 50 (1986), no. 4, 675-710.
[41] V.V. Zhikov, On Lavrentiev’s phenomenon, Russ. J. Math. Phys. 3 (1995), no. 2, 249–269.
[42] V.V. Zhikov, S.M. Kozlov, and O.A. Oleinik, Homogenization of Differential Operators and Integral Functionals, Springer-Verlag, Berlin, 1994.