Remarks on a $(p(x),q(x))$-Laplacian Parabolic System with Logarithmic Nonlinearity
In this work, we investigate a system of $(p(x),q(x))$-Laplacian parabolic equations with logarithmic nonlinearity. Some results on the blow-up and asymptotic behavior of weak solutions are derived by using potential well theory combined with the Nehari manifold. The main difficulties here come from the lack of homogeneous properties on the variable exponent spaces and the sign-changing of reaction terms. Our results improve a recent result obtained in [3].
Authors
- Le Xuan Truong (ORCID: https://orcid.org/0000-0003-2328-6235)
- Le Cong Nhan (ORCID: https://orcid.org/0000-0002-6220-8590)
- Quach Van Chuong (ORCID: https://orcid.org/0000-0002-9974-9868)
Institutions
- University of Economics Ho Chi Minh City (VN)
- Lac Hong University (VN)
- Ho Chi Minh City University of Technology and Engineering (VN)
Publication Details
- Journal
- Taiwanese Journal of Mathematics
- Published
- 2025-03-07
- DOI
- https://doi.org/10.11650/tjm/250301
- Primary Topic
- Advanced Mathematical Modeling in Engineering
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Ho Chi Minh City University of Technology and Education
- Đại học Kinh tế Thành phố Hồ Chí Minh