Araştırma Makalesi

Existence of ground state solutions of elliptic system in Fractional Orlicz-Sobolev Spaces

Cilt: 5 Sayı: 2 30 Haziran 2022
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Existence of ground state solutions of elliptic system in Fractional Orlicz-Sobolev Spaces

Abstract

We employing a minimization arguments on appropriate Nehari manifolds, we obtain ground state solutions
for a non-local elliptic system driven by the fractional a(.)-Laplacian operator, with Dirichlet boundary
conditions type.

Keywords

Kaynakça

  1. [1] R.A. Adams, J.F. Fournier, Sobolev spaces, Second edition, Pure and Applied Mathematics (Amsterdam), Elsevier/Academic Press, Amsterdam, (2003).
  2. [2] K. Adriouch, A. El Hamidi, The Nehari manifold for systems of nonlinear elliptic equations. Nonlinear Analysis: Theory, Methods Applications, 64(10), (2006), 2149-2167.
  3. [3] G.A. Afrouzi, S. Heidarkhani, Existence of three solutions for a class of Dirichlet quasilinear ellip- tic systems involving the (p1,, pn)-Laplacian. Nonlinear Analysis: Theory, Methods Applications, 70(1) (2009), 135-143.
  4. [4] K.B. Ali, M. Hsini, K. Kefi, N.T. Chung, On a nonlocal fractional p (.,.)-Laplacian problem with competing nonlinearities. Complex Analysis and Operator Theory, 13(3) (2019), 1377-1399.
  5. [5] E. Azroul, A. Benkirane, & M. Srati, Nonlocal eigenvalue type problem in fractional Orlicz- Sobolev space. Advances in Operator Theory, 5(4) (2020), 1599-1617.
  6. [6] E. Azroul, A. Benkirane, M. Srati, & M. Shimi, Existence of solutions for a nonlocal Kirchhoff type problem in Fractional Orlicz-Sobolev spaces. arXiv preprint arXiv:1901.05216, (2019).
  7. [7] E. Azroul, A. Benkirane, M. Srati, Existence of solutions for a non-local type problem in Frac- tional Orlicz Sobolev Spaces, Adv. Oper. Theory (2020).
  8. [8] E. Azroul, A. Benkirane, M. Srati, Mountain pass type solution for a nonlacal fractional a- Kirchhoff type problem J. Nonlinear Funct. Anal. 2020 (2020), Article ID 22.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

30 Haziran 2022

Gönderilme Tarihi

10 Kasım 2021

Kabul Tarihi

16 Mart 2022

Yayımlandığı Sayı

Yıl 2022 Cilt: 5 Sayı: 2

Kaynak Göster

APA
El-houari, H., Chadli, L. S., & Moussa, H. (2022). Existence of ground state solutions of elliptic system in Fractional Orlicz-Sobolev Spaces. Results in Nonlinear Analysis, 5(2), 112-130. https://doi.org/10.53006/rna.1021871
AMA
1.El-houari H, Chadli LS, Moussa H. Existence of ground state solutions of elliptic system in Fractional Orlicz-Sobolev Spaces. RNA. 2022;5(2):112-130. doi:10.53006/rna.1021871
Chicago
El-houari, Hamza, Lalla Saadia Chadli, ve Hicham Moussa. 2022. “Existence of ground state solutions of elliptic system in Fractional Orlicz-Sobolev Spaces”. Results in Nonlinear Analysis 5 (2): 112-30. https://doi.org/10.53006/rna.1021871.
EndNote
El-houari H, Chadli LS, Moussa H (01 Haziran 2022) Existence of ground state solutions of elliptic system in Fractional Orlicz-Sobolev Spaces. Results in Nonlinear Analysis 5 2 112–130.
IEEE
[1]H. El-houari, L. S. Chadli, ve H. Moussa, “Existence of ground state solutions of elliptic system in Fractional Orlicz-Sobolev Spaces”, RNA, c. 5, sy 2, ss. 112–130, Haz. 2022, doi: 10.53006/rna.1021871.
ISNAD
El-houari, Hamza - Chadli, Lalla Saadia - Moussa, Hicham. “Existence of ground state solutions of elliptic system in Fractional Orlicz-Sobolev Spaces”. Results in Nonlinear Analysis 5/2 (01 Haziran 2022): 112-130. https://doi.org/10.53006/rna.1021871.
JAMA
1.El-houari H, Chadli LS, Moussa H. Existence of ground state solutions of elliptic system in Fractional Orlicz-Sobolev Spaces. RNA. 2022;5:112–130.
MLA
El-houari, Hamza, vd. “Existence of ground state solutions of elliptic system in Fractional Orlicz-Sobolev Spaces”. Results in Nonlinear Analysis, c. 5, sy 2, Haziran 2022, ss. 112-30, doi:10.53006/rna.1021871.
Vancouver
1.Hamza El-houari, Lalla Saadia Chadli, Hicham Moussa. Existence of ground state solutions of elliptic system in Fractional Orlicz-Sobolev Spaces. RNA. 01 Haziran 2022;5(2):112-30. doi:10.53006/rna.1021871

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