Infinitely many solutions for a class of hemivariational inequalities involving p(x)-Laplacian
In this paper hemivariational inequality with nonhomogeneous Neumann boundary condition is investigated. The existence of infinitely many small solutions involving a class of p(x) - Laplacian equation in a smooth bounded domain is established. Our main tool is based on a version of the symmetric mou...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Sciendo
2017-07-01
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| Series: | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/auom-2017-0021 |
| _version_ | 1811329823248744448 |
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| author | Fattahi Fariba Alimohammady Mohsen |
| author_facet | Fattahi Fariba Alimohammady Mohsen |
| author_sort | Fattahi Fariba |
| collection | DOAJ |
| description | In this paper hemivariational inequality with nonhomogeneous Neumann boundary condition is investigated. The existence of infinitely many small solutions involving a class of p(x) - Laplacian equation in a smooth bounded domain is established. Our main tool is based on a version of the symmetric mountain pass lemma due to Kajikiya and the principle of symmetric criticality for a locally Lipschitz functional. |
| first_indexed | 2024-04-13T15:50:43Z |
| format | Article |
| id | doaj.art-3c54351c38324841b4d352e3f1a096f3 |
| institution | Directory Open Access Journal |
| issn | 1844-0835 |
| language | English |
| last_indexed | 2024-04-13T15:50:43Z |
| publishDate | 2017-07-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica |
| spelling | doaj.art-3c54351c38324841b4d352e3f1a096f32022-12-22T02:40:50ZengSciendoAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica1844-08352017-07-01252658310.1515/auom-2017-0021Infinitely many solutions for a class of hemivariational inequalities involving p(x)-LaplacianFattahi Fariba0Alimohammady Mohsen1Department of Mathematics, University of Mazandaran, Babolsar, IranDepartment of Mathematics, University of Mazandaran, Babolsar, IranIn this paper hemivariational inequality with nonhomogeneous Neumann boundary condition is investigated. The existence of infinitely many small solutions involving a class of p(x) - Laplacian equation in a smooth bounded domain is established. Our main tool is based on a version of the symmetric mountain pass lemma due to Kajikiya and the principle of symmetric criticality for a locally Lipschitz functional.https://doi.org/10.1515/auom-2017-0021p(x)-laplaciansymmetric mountain pass lemmahemivariational inequal- itygeneralized lebesgue-sobolev spacesprimary 49j4047j30secondary 35b3035j60 |
| spellingShingle | Fattahi Fariba Alimohammady Mohsen Infinitely many solutions for a class of hemivariational inequalities involving p(x)-Laplacian Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica p(x)-laplacian symmetric mountain pass lemma hemivariational inequal- ity generalized lebesgue-sobolev spaces primary 49j40 47j30 secondary 35b30 35j60 |
| title | Infinitely many solutions for a class of hemivariational inequalities involving p(x)-Laplacian |
| title_full | Infinitely many solutions for a class of hemivariational inequalities involving p(x)-Laplacian |
| title_fullStr | Infinitely many solutions for a class of hemivariational inequalities involving p(x)-Laplacian |
| title_full_unstemmed | Infinitely many solutions for a class of hemivariational inequalities involving p(x)-Laplacian |
| title_short | Infinitely many solutions for a class of hemivariational inequalities involving p(x)-Laplacian |
| title_sort | infinitely many solutions for a class of hemivariational inequalities involving p x laplacian |
| topic | p(x)-laplacian symmetric mountain pass lemma hemivariational inequal- ity generalized lebesgue-sobolev spaces primary 49j40 47j30 secondary 35b30 35j60 |
| url | https://doi.org/10.1515/auom-2017-0021 |
| work_keys_str_mv | AT fattahifariba infinitelymanysolutionsforaclassofhemivariationalinequalitiesinvolvingpxlaplacian AT alimohammadymohsen infinitelymanysolutionsforaclassofhemivariationalinequalitiesinvolvingpxlaplacian |