Existence of ground state solutions of elliptic system in Fractional Orlicz-Sobolev Spaces
Abstract
for a non-local elliptic system driven by the fractional a(.)-Laplacian operator, with Dirichlet boundary
conditions type.
Keywords
Kaynakça
- [1] R.A. Adams, J.F. Fournier, Sobolev spaces, Second edition, Pure and Applied Mathematics (Amsterdam), Elsevier/Academic Press, Amsterdam, (2003).
- [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] 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] 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] 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] 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] 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] 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
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