Existence and boundedness of solutions for evolution variational inequalities with p(x,t)-growth
In this article, we study a class of evolution variational inequalities with p(x,t)-growth conditions on bounded domains. By means of the penalty method and Galerkin's approximation, we obtain the existence of weak solutions. Moreover, the boundedness of weak solutions is also investigated b...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Texas State University
2015-06-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2015/172/abstr.html |
| _version_ | 1818527416783470592 |
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| author | Mingqi Xiang Yongqiang Fu Binlin Zhang |
| author_facet | Mingqi Xiang Yongqiang Fu Binlin Zhang |
| author_sort | Mingqi Xiang |
| collection | DOAJ |
| description | In this article, we study a class of evolution variational inequalities
with p(x,t)-growth conditions on bounded domains. By means of the penalty
method and Galerkin's approximation, we obtain the existence of weak solutions.
Moreover, the boundedness of weak solutions is also investigated by applying
Moser's iterative method. |
| first_indexed | 2024-12-11T06:35:54Z |
| format | Article |
| id | doaj.art-5df72a85fa8944ab85a320c1db2dc35a |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-11T06:35:54Z |
| publishDate | 2015-06-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-5df72a85fa8944ab85a320c1db2dc35a2022-12-22T01:17:22ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912015-06-012015172,123Existence and boundedness of solutions for evolution variational inequalities with p(x,t)-growthMingqi Xiang0Yongqiang Fu1Binlin Zhang2 Civil Aviation Univ., Tianjin, China Harbin Institute of Tech., Harbin, China Heilongjiang Institute of Tech., Harbin, China In this article, we study a class of evolution variational inequalities with p(x,t)-growth conditions on bounded domains. By means of the penalty method and Galerkin's approximation, we obtain the existence of weak solutions. Moreover, the boundedness of weak solutions is also investigated by applying Moser's iterative method.http://ejde.math.txstate.edu/Volumes/2015/172/abstr.htmlEvolution variational inequalityvariable exponent spacepenalty method |
| spellingShingle | Mingqi Xiang Yongqiang Fu Binlin Zhang Existence and boundedness of solutions for evolution variational inequalities with p(x,t)-growth Electronic Journal of Differential Equations Evolution variational inequality variable exponent space penalty method |
| title | Existence and boundedness of solutions for evolution variational inequalities with p(x,t)-growth |
| title_full | Existence and boundedness of solutions for evolution variational inequalities with p(x,t)-growth |
| title_fullStr | Existence and boundedness of solutions for evolution variational inequalities with p(x,t)-growth |
| title_full_unstemmed | Existence and boundedness of solutions for evolution variational inequalities with p(x,t)-growth |
| title_short | Existence and boundedness of solutions for evolution variational inequalities with p(x,t)-growth |
| title_sort | existence and boundedness of solutions for evolution variational inequalities with p x t growth |
| topic | Evolution variational inequality variable exponent space penalty method |
| url | http://ejde.math.txstate.edu/Volumes/2015/172/abstr.html |
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