Properties of Weak Solutions for a Pseudoparabolic Equation with Logarithmic Nonlinearity of Variable Exponents
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 i...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2023-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2023/7441168 |
| _version_ | 1797867666962120704 |
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| author | Rongting Pan Yunzhu Gao Qiu Meng |
| author_facet | Rongting Pan Yunzhu Gao Qiu Meng |
| author_sort | Rongting Pan |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-09T23:44:54Z |
| format | Article |
| id | doaj.art-76f833e0365d4962a4c0301b2b90aa58 |
| institution | Directory Open Access Journal |
| issn | 2314-4785 |
| language | English |
| last_indexed | 2024-04-09T23:44:54Z |
| publishDate | 2023-01-01 |
| publisher | Hindawi Limited |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj.art-76f833e0365d4962a4c0301b2b90aa582023-03-18T00:00:04ZengHindawi LimitedJournal of Mathematics2314-47852023-01-01202310.1155/2023/7441168Properties of Weak Solutions for a Pseudoparabolic Equation with Logarithmic Nonlinearity of Variable ExponentsRongting Pan0Yunzhu Gao1Qiu Meng2College of Mathematics and StatisticsCollege of Mathematics and StatisticsCollege of Mathematics and StatisticsIn 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.http://dx.doi.org/10.1155/2023/7441168 |
| spellingShingle | Rongting Pan Yunzhu Gao Qiu Meng Properties of Weak Solutions for a Pseudoparabolic Equation with Logarithmic Nonlinearity of Variable Exponents Journal of Mathematics |
| title | Properties of Weak Solutions for a Pseudoparabolic Equation with Logarithmic Nonlinearity of Variable Exponents |
| title_full | Properties of Weak Solutions for a Pseudoparabolic Equation with Logarithmic Nonlinearity of Variable Exponents |
| title_fullStr | Properties of Weak Solutions for a Pseudoparabolic Equation with Logarithmic Nonlinearity of Variable Exponents |
| title_full_unstemmed | Properties of Weak Solutions for a Pseudoparabolic Equation with Logarithmic Nonlinearity of Variable Exponents |
| title_short | Properties of Weak Solutions for a Pseudoparabolic Equation with Logarithmic Nonlinearity of Variable Exponents |
| title_sort | properties of weak solutions for a pseudoparabolic equation with logarithmic nonlinearity of variable exponents |
| url | http://dx.doi.org/10.1155/2023/7441168 |
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