Fractional double-phase nonlocal equation in Musielak-Orlicz Sobolev space-Reference-Cited by-同舟云学术

Fractional double-phase nonlocal equation in Musielak-Orlicz Sobolev space

Published:2024-05-29 Issue:1 Volume:2024 Page:
ISSN:1687-2770
Container-title:Boundary Value Problems
language:en
Short-container-title:Bound Value Probl

Author:

Bouali Tahar,Guefaifia Rafik,Boulaaras Salah

Abstract

AbstractIn this paper, we analyze the existence of solutions to a double-phase fractional equation of the Kirchhoff type in Musielak-Orlicz Sobolev space with variable exponents. Our approach is mainly based on the sub-supersolution method and the mountain pass theorem.

Publisher

Springer Science and Business Media LLC

Link

https://link.springer.com/content/pdf/10.1186/s13661-024-01877-9.pdf

Reference37 articles.

1. Alrabaiah, H., Ahmad, I., Shah, K., et al.: Qualitative analysis of nonlinear coupled pantograph differential equations of fractional order with integral boundary conditions. Bound. Value Probl. 2020, 138 (2020). https://doi.org/10.1186/s13661-020-01432-2

2. Bahrouni, A., Radulescu, V.D., Winkert, P.: Double phase problems with variable growth and convection for the Baouendi–Grushin operator. Z. Angew. Math. Phys. 71(6), 183 (2020)

3. Bouali, T., Guefaifia, R., Boulaaras, S.: Multiplicity of solutions for fractional $p(z)$-Kirchhoff-type equation. J. Inequal. Appl. 2024(1), 50 (2024)

4. Chen, Y., Levine, S., Rao, M.: Variable exponent, linear growth functionals in image restoration. SIAM J. Appl. Math. 66, 1383–1406 (2006)

5. Gasinski, L., Papageorgiou, N.S.: Constant sign and nodal solutions for superlinear double phase problems. Adv. Calc. Var. 14(4), 613–626 (2021)

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Existence and uniqueness of positive solution to a new class of nonlocal elliptic problem with parameter dependency;Boundary Value Problems;2024-09-12