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Embedding theorems on the fractional Orlicz-Sobolev spaces

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In this paper we deal with the embedding inclusions on the fractional Orlicz-Sobolev spaces which are crucial roles for studying the theories of the partial differential equations. We get some properties and theories of the embedding inclusions on the fractional Orlicz-Sobolev spaces.

Abstract

In this paper we deal with the embedding inclusions on the fractional Orlicz-Sobolev spaces which are crucial roles for studying the theories of the partial differential equations. We get some properties and theories of the embedding inclusions on the fractional Orlicz-Sobolev spaces.

참고문헌 (13)

  1. E. Azroul, "Existence of solutions for a nonlocal type problem in fractional Orlicz-Sobolev spaces", ~ (2019)
  2. J. F. Bonder, "Fractional order Orlicz-Sobolev spaces", Journal of Functional Analysis (2019)[DOI]
  3. Y. Chen, "Variable exponent, linear growth functionals in image restora-tion", SIAM J. Appl. Math, 66, pp.1383~1406 (2006)
  4. M. Garcia-Huidobro, "On principle eigenvalues for quasilinear elliptic differential operators : An Orlicz-Sobolev space setting", Nonlineae Differential Equations Appl. (NoDEA), 6, pp.207~225 (1999)
  5. J. P. Gossez, "Nonlinear elliptic boundary value problems for equations with rapidly(or slowly)increasing coefficients", Trans. Amer. Math. Soc, 190, pp.163~205 (1974)
  6. M. Hsini, N. Irzi, "On a fractional problem with variable exponent", Proceedings of the Romanian Academy-Series A: Mathematics, Physics, Technical Sciences, Information Science (2019)
  7. U. Kaufmann, "Fractional Sobolev spaces with variable exponents and p(x)-Laplacians", Electron. J. Qual. Theory Differ. Equ, 76, pp.1~10 (2017)
  8. M. M ihailescu ˇ, "Neumann problems associated to nonhomogeneous differential operators in Orlicz-Sobolev spaces", Ann. Inst. Fourier, 58, pp.2087~2111 (2008)
  9. L. M. Pezzo, "Trace for fractional Sobolev spaces with variables exponents", arXiv:1704.02599, ~
  10. M. Ruzicka, "Electrorheological Fluids: Modeling and Mathematical Theory" (2002), Springer-Verlag
  11. A. M. Salort, "A fractional Orlicz-Sobolev eigenvalue problem and related Hardy inequalities", arXiv e-prints, arXiv:1807.03209, ~ (2018)
  12. C. Zhang, "Renormalized solutions for the fractional p(x)−Laplacian equation with L 1 data", arXiv: 1708.04481v1, ~
  13. V. V. Zhikov, "Averaging of functionals of the calculus of variations and elasticity theory", Math. USSR-Izv, 29(1), pp.33~66 (1987)

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