On a Class of Anisotropic Elliptic Systems of Schrödinger–Kirchhoff Type in Unbounded Domains
ABSTRACT In this paper, we extend some results to anisotropic variable exponent Sobolev spaces in unbounded domains. Building on the presented results, we prove the existence of at least three weak solutions for an anisotropic Schrödinger–Kirchhoff‐type potential system involving variable exponents. Subject to appropriate conditions on the nonlinearities, we obtain the existence of a minimum of three weak solutions for our problem.
Authors
- Jinxia Cen (ORCID: https://orcid.org/0000-0001-9360-8821)
- Anass Ouannasser (ORCID: https://orcid.org/0000-0002-6790-4675)
- Nabil Chems Eddine (ORCID: https://orcid.org/0000-0001-8503-1305)
Institutions
- Mohammed V University (MA)
- Zhejiang Normal University (CN)
Publication Details
- Journal
- Mathematical Methods in the Applied Sciences
- Published
- 2025-06-18
- DOI
- https://doi.org/10.1002/mma.11157
- Primary Topic
- Nonlinear Partial Differential Equations
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Natural Science Foundation of China
- Natural Science Foundation of Chongqing