References
- Kaufmann U, Rossi JD, Vidal R. Fractional Sobolev spaces with variable exponents and fractional p(x)-Laplacians. Electron J Qual Theory Differ Equ. 2017;2017(76):1–10.
- Pezzo LMD, Rossi JD. Traces for fractional Sobolev spaces with variable exponents. Adv Oper Theory. 2017;2(4):435–446.
- Bahrouni A, Rădulescu VD. On a new fractional Sobolev space and application to nonlocal variational problems with variable exponent. Discrete Contin Dyn Syst Ser S. 2018;11(3):379–389.
- Bisci GM, Rădulescu VD, Servadi R. Variational methods for nonlocal fractional problems. Encyclopedia of mathematics and its applications. Cambridge: Cambridge University Press; 2016.
- Di Nezza E, Palatucci G, Valdinoci E. Hitchhiker's guide to the fractional Sobolev spaces. Bull Sci Math. 2012;136(5):521–573.
- Servadei R, Valdinoci E. Variational methods for non-local operators of elliptic type. Discrete Contin Dyn Syst A. 2013;33:2105–2137.
- Avci M, Pankov A. Multivalued elliptic operators with nonstandard growth. Adv Nonlinear Anal. 2018;7(1):35–48.
- Boulaaras S, Allahem A. Existence of positive solutions of nonlocal p(x)-Kirchhoff evolutionary systems via sub-super solutions concept. Symm Basel. 2019;11(2):art.n.253.
- Chung NT. Multiple solutions for a class of p(x)-Laplacian problems involving concave-convex nonlinearities. Electron J Qual Theory Differ Equ. 2013;2013(26):1–17.
- Chung NT. Some remarks on a class of p(x)-Laplacian Robin eigenvalue problems. Mediterr J Math. 2018;15(4):147.
- Fan X, Zhao D. On the spaces Lp(x)(Ω) and Wm,p(x)(Ω). J Math Anal Appl. 2001;263:424–446.
- Kong L. Weak solutions for nonlinear Neumann boundary value problems with p(x)-Laplacian operators. Taiwanese J Math. 2017;21(6):1355–1379.
- Liang S, Zhang J. Infinitely many small solutions for the p(x)-Laplacian operator with nonlinear boundary conditions. Ann Mat Pur Appl. 2013;192:1–16.
- Mihailescu M, Radulescu V. On a nonhomogenuous quasilinear eigenvalue problem in Sobolev spaces with variable exponent. Proc Am Math Soc. 2007;135:2929–2937.
- Ourraoui A, Ragusa MA. An existence result for a class of p(x)-anisotropic type equations. Symmetry. 2021;13(4):art.n.633. DOI:10.3390/sym13040633
- Zhang QH. Existence of positive solutions to a class of p(x)-Laplacian equations with singular nonlinearities. Appl Math Lett. 2012;25(12):2381–2384.
- Diening L, Harjulehto P, Hasto P, et al. Lebesgue and Sobolev spaces with variable exponents. Berlin: Springer; 2011. (Lecture Notes; 2017).
- Rădulescu VD, Repovš DD. Partial differential equations with variable exponents: variational methods and qualitative analysis. Boca Raton (FL): CRC Press; 2015.
- Crandall MG, Rabinowitz PH, Tartar L. On a Dirichlet problem with a singular nonlinearity. Commun Part Differ Equ. 1977;2:193–222.
- Ghergu M, Rădulescu VD. Singular elliptic problems: bifurcation and asymptotic analysis. Oxford: Oxford University Press, Clarendon Press; 2008. (Oxford Lecture Series in Mathematics and Its Applications; 37).
- Coclite MM, Palmieri G. On a singular nonlinear Dirichlet problem. Commun Part Differ Equ. 1989;14:1315–1327.
- Giacomoni J, Saoudi K. Multiplicity of positive solutions for a singular and critical problem. Nonlinear Anal. 2009;71(9):4060–4077.
- Li Q, Gao W. Existence of weak solutions to a class of singular elliptic equations. Mediterr J Math. 2016;13:4917–4927.
- Papageorgiou NS, Rădulescu VD. Combined effects of singular and sublinear nonlinearities in some elliptic problems. Nonlinear Anal. 2014;109:236–244.
- Wu SY, Yiming L. Combined effects of singular and superlinear nonlinearities in some singular boundary value problems. J Differ Equ. 2001;176(2):511–531.
- Fiscella A, Mishra PK. The Nehari manifold for fractional Kirchhoff problems involving singular and critical terms. Nonlinear Anal. 2019;186:6–32.
- Ghanmi A, Saoudi K. The Nehari manifold for a singular elliptic equation involving the fractional Laplace operator. Frac Differ Calc. 2016;6(2):201–217.
- Ghanmi A, Saoudi K. A multiplicity results for a singular problem involving the fractional p-Laplacian operator. Complex Var Ellip Equ. 2016;61:1199–1216.
- Mukherjee T, Sreenadh K. Fractional elliptic equations with critical growth and singular nonlinearities. Electron J Differ Equ. 2016;2016(54):1–23.
- Saoudi K. A critical fractional elliptic equation with singular nonlinearities. Frac Differ Calc. 2017;20(6):1–24.
- Wang X, Zhang L. Existence and multiplicity of weak positive solutions to a class of fractional Laplacian with a singular nonlinearity. Res Math. 2019;74:81.
- Liu JJ. Positive solutions of the p(x)-Laplace equation with singular nonlinearity. Nonlinear Anal. 2010;72:4428–4437.
- Saoudi K. A singular elliptic system involving the p(x)-Laplacian and generalized Lebesgue-Sobolev spaces. Int J Math. 2019;30(12):1950064.
- Saoudi K, Ghanmi A. A multiplicity results for a singular equation involving the p(x)-Laplace operator. Complex Var Ellip Equ. 2017;62(5):695–725.
- Azroul E, Benkirane A, Shimi M. On a class of fractional p(x)-Kirchhoff type problems. Appl Anal. 2021;100(2):383–402.
- Bahrouni A. Comparison and sub-supersolution principles for the fractional p(x)-Laplacian. J Math Anal Appl. 2018;458(2):1363–1372.
- Chammem R, Ghanmi A, Sahbani A. Existence of solution for a singular fractional Laplacian problem with variable exponents and indefinite weights. Complex Variables Ellip Equ. 2020. DOI:10.1080/17476933.2020.1756270
- Chung NT. Eigenvalue problems for fractional p(x,y)−Laplacian equations with indefinite weight. Taiwanese J Math. 2020;23(5):1–21.
- Chung NT, Toan HQ. On a class of fractional Laplacian problems with variable exponents and indefinite weights. Collect Math. 2020;71:223–237.
- Azroul E, Benkirane A, Shimi M. Eigenvalue problems involving the fractional p(x)-Laplacian operator. Adv Oper Theory. 2019;4(2):539–555.