Title: | Remarks on a (p(x), q(x))-Laplacian Parabolic System with Logarithmic Nonlinearity |
Author(s): | Le Cong Nhan |
Keywords: | (p(x); q(x))-Laplacian parabolic systems; Asymptotic behavior; Blow-up; Logarithmic nonlinearity; Potential well method |
Abstract: | 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]. |
Issue Date: | 2025 |
Publisher: | Project Euclid |
Series/Report no.: | Vol.29, Issue 3 |
URI: | https://digital.lib.ueh.edu.vn/handle/UEH/76092 |
DOI: | https://doi.org/10.11650/tjm/250301 |
ISSN: | 1027-5487 |
Appears in Collections: | INTERNATIONAL PUBLICATIONS
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