References
- E. Azroul, A. Benkirane and M. Srati, Existence of solutions for a nonlocal type problem in fractional Orlicz-Sobolev spaces, preprint (2019).
- J. F. Bonder and A. M. Salort, Fractional order Orlicz-Sobolev spaces, Journal of Functional Analysis, https://doi.org/10.1016/j.jfa.2019.04.003 (2019).
- Y. Chen, S. Levine and M. Rao, Variable exponent, linear growth functionals in image restoration, SIAM J. Appl. Math. 66, 1383-1406 (2006). https://doi.org/10.1137/050624522
- M. Garcia - Huidobro, V. K. Le, R. M anasevich and K. Schmitt, On principle eigenvalues for quasilinear elliptic differential operators: An Orlicz-Sobolev space setting, Nonlineae Differential Equations Appl. (NoDEA) 6 (1999), 207-225. https://doi.org/10.1007/s000300050073
- J. P. Gossez, Nonlinear elliptic boundary value problems for equations with rapidly (or slowly) increasing coefficients, Trans. Amer. Math. Soc. 190 (1974), 163-205. https://doi.org/10.2307/1996957
- M. Hsini, N. Irzi and Kh. Kefi, On a fractional problem with variable exponent, Proceedings of the Romanian Academy-Series A: Mathematics, Physics, Technical Sciences, Information Science, (2019).
- U. Kaufmann, J. D. Rossi and R. Vidal, Fractional Sobolev spaces with variable exponents and p(x)-Laplacians, Electron. J. Qual. Theory Differ. Equ. 76 (2017), 1-10.
- M. M ihailescu and V. Radulescu, Neumann problems associated to nonhomogeneous differential operators in Orlicz-Sobolev spaces, Ann. Inst. Fourier, 58 (2008), 2087-2111. https://doi.org/10.5802/aif.2407
- L. M. Pezzo and J. D. Rossi, Trace for fractional Sobolev spaces with variables exponents, arXiv: 1704.02599.
- M. Ruzicka, Electrorheological Fluids: Modeling and Mathematical Theory, Springer-Verlag, Berlin,(2002).
- A. M. Salort, A fractional Orlicz-Sobolev eigenvalue problem and related Hardy inequalities, arXiv e-prints, arXiv:1807.03209 (2018).
- C. Zhang and X. Zhang, Renormalized solutions for the fractional p(x)-Laplacian equation with L1 data, arXiv: 1708.04481v1.
- V. V. Zhikov, Averaging of functionals of the calculus of variations and elasticity theory, Izv. Akad. Nauk SSSR Ser. Mat. 50 (4) (1986), 675-710; English transl., Math. USSR-Izv 29 (1) (1987), 33-66.