Solutions for a class of problems driven by an anisotropic (p,q)-Laplacian type operator
In this manuscript, existence and multiplicity results are obtained for a problem involving an anisotropic $ (p, q) $-Laplacian-type operator by means of sub-supersolutions and variational techniques. This problem arises in various applications such as in the study of the enhancement of images, the...
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-09-01
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| Series: | Communications in Analysis and Mechanics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/cam.2023026?viewType=HTML |
| _version_ | 1827386761653780480 |
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| author | Leandro Tavares |
| author_facet | Leandro Tavares |
| author_sort | Leandro Tavares |
| collection | DOAJ |
| description | In this manuscript, existence and multiplicity results are obtained for a problem involving an anisotropic $ (p, q) $-Laplacian-type operator by means of sub-supersolutions and variational techniques. This problem arises in various applications such as in the study of the enhancement of images, the spread of epidemic disease and in the dynamic of fluids. Under a general condition, the existence of a solution is proved, and the multiplicity of solutions is obtained by considering an additional natural hypothesis. |
| first_indexed | 2024-03-08T15:51:15Z |
| format | Article |
| id | doaj.art-f2adaead88b34563ad1e4ac9ba99c59f |
| institution | Directory Open Access Journal |
| issn | 2836-3310 |
| language | English |
| last_indexed | 2024-03-08T15:51:15Z |
| publishDate | 2023-09-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Communications in Analysis and Mechanics |
| spelling | doaj.art-f2adaead88b34563ad1e4ac9ba99c59f2024-01-09T05:56:14ZengAIMS PressCommunications in Analysis and Mechanics2836-33102023-09-0115353355010.3934/cam.2023026Solutions for a class of problems driven by an anisotropic (p,q)-Laplacian type operatorLeandro Tavares0Center of Sciences and Technology, Federal University of Cariri, Juazeiro do Norte/CE, CEP: 63048-080, BrazilIn this manuscript, existence and multiplicity results are obtained for a problem involving an anisotropic $ (p, q) $-Laplacian-type operator by means of sub-supersolutions and variational techniques. This problem arises in various applications such as in the study of the enhancement of images, the spread of epidemic disease and in the dynamic of fluids. Under a general condition, the existence of a solution is proved, and the multiplicity of solutions is obtained by considering an additional natural hypothesis.https://www.aimspress.com/article/doi/10.3934/cam.2023026?viewType=HTML(p， q) -laplacian type operatoranisotropic operatorsub-supersolutionsexistencemultiplicity |
| spellingShingle | Leandro Tavares Solutions for a class of problems driven by an anisotropic (p,q)-Laplacian type operator Communications in Analysis and Mechanics (p， q) -laplacian type operator anisotropic operator sub-supersolutions existence multiplicity |
| title | Solutions for a class of problems driven by an anisotropic (p,q)-Laplacian type operator |
| title_full | Solutions for a class of problems driven by an anisotropic (p,q)-Laplacian type operator |
| title_fullStr | Solutions for a class of problems driven by an anisotropic (p,q)-Laplacian type operator |
| title_full_unstemmed | Solutions for a class of problems driven by an anisotropic (p,q)-Laplacian type operator |
| title_short | Solutions for a class of problems driven by an anisotropic (p,q)-Laplacian type operator |
| title_sort | solutions for a class of problems driven by an anisotropic p q laplacian type operator |
| topic | (p， q) -laplacian type operator anisotropic operator sub-supersolutions existence multiplicity |
| url | https://www.aimspress.com/article/doi/10.3934/cam.2023026?viewType=HTML |
| work_keys_str_mv | AT leandrotavares solutionsforaclassofproblemsdrivenbyananisotropicpqlaplaciantypeoperator |