Existence and multiplications of solutions for a class of equation with a non-smooth potential
This paper deals with the existence and multiplicity of solutions for a class of nonlocal p−Kirchhoff problem. Using the mountain pass theorem and fountain theorem, we establish the existence of at least one solution and infinitely many solutions for a class of locally Lipschitz functional.
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| Format: | Article |
| Language: | English |
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University of Mohaghegh Ardabili
2015-12-01
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| Series: | Journal of Hyperstructures |
| Subjects: | |
| Online Access: | https://jhs.uma.ac.ir/article_2607_76891634c57aa3ae5ac018f5f6af8945.pdf |
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| _version_ | 1839635427332456448 |
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| author | Fariba Fattahi M. Alimohammady |
| author_facet | Fariba Fattahi M. Alimohammady |
| author_sort | Fariba Fattahi |
| collection | DOAJ |
| description | This paper deals with the existence and multiplicity of solutions for a class of nonlocal p−Kirchhoff problem. Using the mountain pass theorem and fountain theorem, we establish the existence of at least one solution and infinitely many solutions for a class of locally Lipschitz functional. |
| format | Article |
| id | doaj-art-db04d85878ab41b7848ad61b3858810f |
| institution | Matheson Library |
| issn | 2251-8436 2322-1666 |
| language | English |
| publishDate | 2015-12-01 |
| publisher | University of Mohaghegh Ardabili |
| record_format | Article |
| series | Journal of Hyperstructures |
| spelling | doaj-art-db04d85878ab41b7848ad61b3858810f2025-07-09T08:24:06ZengUniversity of Mohaghegh ArdabiliJournal of Hyperstructures2251-84362322-16662015-12-014217018310.22098/jhs.2015.26072607Existence and multiplications of solutions for a class of equation with a non-smooth potentialFariba Fattahi0M. Alimohammady1Department of Mathematics, University of Mazandaran, Babolsar, IRANDepartment of Mathematics, University of Mazandaran, P.O.Box 47416-1468, Babolsar, IranThis paper deals with the existence and multiplicity of solutions for a class of nonlocal p−Kirchhoff problem. Using the mountain pass theorem and fountain theorem, we establish the existence of at least one solution and infinitely many solutions for a class of locally Lipschitz functional.https://jhs.uma.ac.ir/article_2607_76891634c57aa3ae5ac018f5f6af8945.pdfp-kirichhoff problemsymmetric mountain pass theoremfountain theoremhemivariational inequality |
| spellingShingle | Fariba Fattahi M. Alimohammady Existence and multiplications of solutions for a class of equation with a non-smooth potential Journal of Hyperstructures p-kirichhoff problem symmetric mountain pass theorem fountain theorem hemivariational inequality |
| title | Existence and multiplications of solutions for a class of equation with a non-smooth potential |
| title_full | Existence and multiplications of solutions for a class of equation with a non-smooth potential |
| title_fullStr | Existence and multiplications of solutions for a class of equation with a non-smooth potential |
| title_full_unstemmed | Existence and multiplications of solutions for a class of equation with a non-smooth potential |
| title_short | Existence and multiplications of solutions for a class of equation with a non-smooth potential |
| title_sort | existence and multiplications of solutions for a class of equation with a non smooth potential |
| topic | p-kirichhoff problem symmetric mountain pass theorem fountain theorem hemivariational inequality |
| url | https://jhs.uma.ac.ir/article_2607_76891634c57aa3ae5ac018f5f6af8945.pdf |
| work_keys_str_mv | AT faribafattahi existenceandmultiplicationsofsolutionsforaclassofequationwithanonsmoothpotential AT malimohammady existenceandmultiplicationsofsolutionsforaclassofequationwithanonsmoothpotential |