Properties of Weak Solutions for a Pseudoparabolic Equation with Logarithmic Nonlinearity of Variable Exponents

Rongting Pan, Yunzhu Gao, Qiu Meng and Guotao Wang

Journal of Mathematics, 2023, vol. 2023, 1-9

Abstract: In this paper, a new pseudoparabolic equation with logarithmic nonlinearity of variable exponents is investigated. By using the energy functional and the classical potential well, we obtain the global existence and blow-up results of weak solutions with variable exponents. These results extend and improve some recent results in which the blow-up results were showed involving the logarithmic nonlinearity with variable exponents.

Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:7441168

DOI: 10.1155/2023/7441168

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