Multiplicity of solutions for $p(x)$-curl systems arising in electromagnetism
We are interested in the existence of multiple solutions for a class of $p(x)$-curl systems arising in electromagnetism. We work on variable exponent Sobolev spaces and by using critical point theory and the variational method, we investigate the existence of at least one, two, and three solutions t...
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| Format: | Article |
| Language: | English |
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University of Szeged
2024-12-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Subjects: | |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=11154 |
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| _version_ | 1841533491974504448 |
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| author | Fariba Gharehgazlouei Ghasem Afrouzi |
| author_facet | Fariba Gharehgazlouei Ghasem Afrouzi |
| author_sort | Fariba Gharehgazlouei |
| collection | DOAJ |
| description | We are interested in the existence of multiple solutions for a class of $p(x)$-curl systems arising in electromagnetism. We work on variable exponent Sobolev spaces and by using critical point theory and the variational method, we investigate the existence of at least one, two, and three solutions to the problem. |
| format | Article |
| id | doaj-art-7dfd308c9fa04e9b980fb6e1a8a0e9c6 |
| institution | Kabale University |
| issn | 1417-3875 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj-art-7dfd308c9fa04e9b980fb6e1a8a0e9c62025-01-15T21:24:59ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752024-12-0120247611410.14232/ejqtde.2024.1.7611154Multiplicity of solutions for $p(x)$-curl systems arising in electromagnetismFariba Gharehgazlouei0https://orcid.org/0000-0002-9765-4507Ghasem Afrouzihttps://orcid.org/0000-0001-8794-3594University of Mazandaran, Babolsar, IranWe are interested in the existence of multiple solutions for a class of $p(x)$-curl systems arising in electromagnetism. We work on variable exponent Sobolev spaces and by using critical point theory and the variational method, we investigate the existence of at least one, two, and three solutions to the problem.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=11154$p(x)$-curl systemselectromagnetic problemsvariational methodsvariable exponent sobolev spaces |
| spellingShingle | Fariba Gharehgazlouei Ghasem Afrouzi Multiplicity of solutions for $p(x)$-curl systems arising in electromagnetism Electronic Journal of Qualitative Theory of Differential Equations $p(x)$-curl systems electromagnetic problems variational methods variable exponent sobolev spaces |
| title | Multiplicity of solutions for $p(x)$-curl systems arising in electromagnetism |
| title_full | Multiplicity of solutions for $p(x)$-curl systems arising in electromagnetism |
| title_fullStr | Multiplicity of solutions for $p(x)$-curl systems arising in electromagnetism |
| title_full_unstemmed | Multiplicity of solutions for $p(x)$-curl systems arising in electromagnetism |
| title_short | Multiplicity of solutions for $p(x)$-curl systems arising in electromagnetism |
| title_sort | multiplicity of solutions for p x curl systems arising in electromagnetism |
| topic | $p(x)$-curl systems electromagnetic problems variational methods variable exponent sobolev spaces |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=11154 |
| work_keys_str_mv | AT faribagharehgazlouei multiplicityofsolutionsforpxcurlsystemsarisinginelectromagnetism AT ghasemafrouzi multiplicityofsolutionsforpxcurlsystemsarisinginelectromagnetism |